Question: Find the x- and y-intercepts for each line, then (a) use these two points to calculate the slope of the line, (b) write the equation with y in terms of x (solve for y) and compare the calculated slope and y-intercept to the equation from part (b). Comment on what you notice. 5y+6x=-25To graph a linear equation by plotting points, you can use the intercepts as two of your three points. Find the two intercepts, and then a third point to ensure ...Learn how to write an equation for a line given two points on it. Find the slope and the y-intercept using the slope-intercept form y=mx+b.Calculate the slope (m) of the line using the formula m = (Y₂ - Y₁) / (X₂ - X₁). Use one of the two points and the slope to solve for the y-intercept (b) in the slope-intercept form equation, which is y = mx + b. y-intercept (b) is given by: b=y-mx; b=Y₁-(((Y₂ - Y₁) / (X₂ - X₁)) ₓ X₁) As an example, the slope is the same ...Solution. Find the y-intercept with 2 points: Let ( x 1, y 1) and ( x 2, y 2) be the two given points. Slope of the line passing through the given points is: m = y 2 - y 1 x 2 - x 1. The equation of a line in slope-intercept form is: y = m x + c. Here, m is the slope of the line and c is the y-intercept. Now, substitute the two points in m = y ...b = the y-intercept at the point (0, b) So, in your equation, your y-intercept = (0, -3). Start by graphing that point. Then use the slope to find more points. Your slope = 1/2. This means from the point (0, -3), go up 1 unit and right 2 units to find the next point. You can repeat this as many times as you want to find points on the line.The Y-Intercepts. The y-intercepts are points where the graph of a function or an equation crosses or “touches” the [latex]y[/latex]-axis of the Cartesian Plane. You may think of this as a point with [latex]x[/latex]-value of zero. ... Example 2: Find the x and y-intercepts of the line [latex]y = – 2x + 4[/latex]. There are 3 steps to find the Equation of the Straight Line: 1. Find the slope of the line; 2. Put the slope and one point into the "Point-Slope Formula" 3. Simplify; Step 1: Find the Slope (or Gradient) from 2 Points. What is the slope (or gradient) of this line? We know two points: point "A" is (6,4) (at x is 6, y is 4) point "B" is (2,3) (at ... Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b. Once you've got both m and b you can just put them ...The \ (y\)-intercept is −2 because the line crosses the \ (y\)-axis at (0, −2). So the equation of the line is \ (y = \frac {1} {3}x - 2\). Learn and revise how to plot coordinates and create ...Linear Equations. Y Intercept. Y-Intercept of A Line. How the equation of a line relates to the graph of its y-intercept. The Y-Intercept of a line is the point …For any function (not necessarily affine/linear), calculate the value for x= 0 x = 0. The value obtained is the y-intercept. Example: A curve of equation y= 3x2 +1 y = 3 x 2 + 1, with x =0 x = 0 is y =3×02+1 =1 y = 3 × 0 2 + 1 = 1, so 1 1 is the y-intercept. For an equation of a line of the plane, the equation has the form ax+b a x + b with b ...In this two-page algebra worksheet for eighth grade, students will review how to find the slope and y-intercept of a line that passes through two given points. Then they are asked to find the slope and y-intercept of the line that passes through given points and write an equation of the line in slope-intercept form. With two pages of practice ...Approach: Find the slope using the given points. Put the value of the slope in the expression of the line i.e. y = mx + c. Now find the value of c using the values of any of the given points in the equation y = mx + c. To find the x-intercept, put y = 0 in y = mx + c. To find the y-intercept, put x = 0 in y = mx + c.You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6; This is slope intercept form, y = 3x - 6. Slope is the coefficient of x so in this case slope = 3; How to Find the y-Intercept. The y-intercept of a line is the value of y when x=0. It is the point where the line crosses the y axis.You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster. Given two points (x1, y1) and (x2, y2), the ...Definition 11.4.1 11.4. 1. An ellipse is all points in a plane where the sum of the distances from two fixed points is constant. Each of the fixed points is called a focus of the ellipse. Figure 11.3.1. We can draw an ellipse by taking some fixed length of flexible string and attaching the ends to two thumbtacks. These points are called x-intercepts and y-intercepts, respectively. What is the formula for slope and y-intercept? The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept. How do you find the equation of a line? To find the equation of a line y=mx-b, calculate the slope of the line using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. Substitute the value of the slope m to find b (y-intercept). Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b. Once you've got both m and b you can just put them ...In algebra, linear equations means you're dealing with straight lines. When you're working with the xy -coordinate system, you can use the following formulas to find the slope, y -intercept, distance, and midpoint between two points. Consider the two points ( x1, y1) and ( x2, y2 ):Explanation: Any linear equation has the form of. #y=mx+b#. #m# is the slope of the equation. #b# is the y-intercept. The slope of the line, #m#, is found by. #m= (y_2-y_1)/ (x_2-x_1)#. where # (x_1,y_1)# and # (x_2,y_2)# are the coordinates of any two points in the line. The y-intercept, #b#, is found by plugging in #x=0# into the equation ... How do you find the equation of a line? To find the equation of a line y=mx-b, calculate the slope of the line using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. Substitute the value of the slope m to find b (y-intercept). with detailed, step by step explanation. show help ↓↓ examples ↓↓. Input lines in: Enter first line: Enter second line: Type r to input square roots . Settings: Hide graph Hide steps. Find Intersection.How to find the slope and the y-intercept. Given at least two points on a line, the slope of the line can be found using the slope formula: For example, given the that (1, 5) and (-2, 7) are points on the same line, the slope of the line can be found as follows: The y-intercept can be found in a number of ways.10 years ago. y = a (x-h)^2 + k is the vertex form equation. Now expand the square and simplify. You should get y = a (x^2 -2hx + h^2) + k. Multiply by the coefficient of a and get y = ax^2 -2ahx +ah^2 + k. This is standard form of a quadratic equation, with the normal a, b and c in ax^2 + bx + c equaling a, -2ah and ah^2 + k, respectively.How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!About. Transcript. Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line. Watch this video to learn more about it …Jul 18, 2018 ... Now in order to find the y-intercept, if we had a graph, it would just be where we crossed the y-axis. Now since we don't, once we find the ...Upon opening the suitcase, 34 pieces of carved elephant ivory were discovered, along with carved warthog and hippopotamus tusks. Earlier this month, US Customs and Border Protectio...The term "intercept" refers to the x- and y-intercepts of of a given equation. The x-intercept is the point at which a line crosses the x-axis and the y-intercept is the point at which a line crosses the y-axis. The figure below shows an example of an x-intercept (green dot) and a y-intercept (red dot).First write 3 x-y=2 in the slope-intercept form, y=mx+b, by solving for y, getting 3 x-y=2. This result shows that the Slope is m=3 and the y -intercept is b=− 2. To draw the graph, first locate the y -intercept. See Figure 3.15. Then, as in Example 5, use the slope of 3, or 31, to get a second point on the graph. Example: Find the intercepts of y = x 2 − 4. x intercept: set y=0. 0 = x 2 − 4. x 2 = 4. x = 2 or −2. The points are (2,0) and (−2,0) y intercept: set x=0. y = 0 2 − 4. y = −4. The point is (0,-4) And here is the graph of x 2 - 4 to confirm what we found: Learn how to find the slope and y-intercept of a line from its equation in slope-intercept form, y = mx + b. See examples, problems and explanations with …Find slope-intercept equation from graph (example) Similarly, when we need to know how to write slope-intercept form from a graph, we determine the slope and the y-intercept. When presented with a graph, we must first determine two points on the grid lines and identify those points. For our graph, we will use the points (1,1) and (0,-2). Now ...How can I extract the x and y intercepts from the plot without manually estimating them? matlab; plot; intersection; Share. Improve this question. Follow edited Mar 10, 2019 at 6:54. Cris Luengo. 58k 10 ... MATLAB- How to find multiple x and y intersection points from two curves. 2. Point of Intersection in MATLAB. Hot Network QuestionsMar 1, 2022 ... Write the slope-intercept form of a line given two points or a point and a slope. See examples of graphing a line and calculating ...The quadratic function has the standard form y = ax 2 + bx + c. The y-intercept is always equal to the value of c. To find the y-intercept, we just have to substitute x = 0 in the equation and solve for y. Thus, the corresponding y-intercept will be y or (0, y). Example: y = x 2 – 2x – 3. Substitute x = 0 and solve for y. y=0 – 2 (0 ...For any function (not necessarily affine/linear), calculate the value for x= 0 x = 0. The value obtained is the y-intercept. Example: A curve of equation y= 3x2 +1 y = 3 x 2 + 1, with x =0 x = 0 is y =3×02+1 =1 y = 3 × 0 2 + 1 = 1, so 1 1 is the y-intercept. For an equation of a line of the plane, the equation has the form ax+b a x + b with b ...Learn how to find the x and y intercepts of an equation by setting x or y equal to zero and solving for the other variable. See examples, graphs and practice questions with answers.The y-intercepts are points where the graph of a function or an equation crosses or “touches” the [latex]y [/latex]-axis of the Cartesian Plane. You may think of this as …Finding y intercept given slope & point (old) Google Classroom. About. Transcript. An old video where Sal finds the y-intercept of the line y=17/13x+b given that …Steps to find the equation of a line from two points: Find the slope using the slope formula. Slope = m = rise run = y 2 − y 1 x 2 − x 1. Point 1 or P 1 = ( x 1, y 1) Point 2 or P 2 = ( x 2, y 2) Use the slope and one of the points to solve for the y-intercept (b). One of your points can replace the x and y, and the slope you just ...the point (1, 2). Here, whilst we know the gradient, we do not know the value of the y-intercept c. We start with the general equation of a straight line y ...If you are given a point-slope form of a line, you can get the slope intercept by following these steps: Write down your point-slope form: y - b = m (x - a) Expand the right-hand side: y - b = mx - ma. Add b to both …example 1: Determine the equation of a line passing through the points and . example 2: Find the slope - intercept form of a straight line passing through the points and . example 3: If points and are lying on a straight line, determine the slope-intercept form of the line.The point-slope form of an equation of a line with slope m and containing the point (x1,y1) is: y −y1 = m(x −x1) We can use the point-slope form of an equation to find an equation of a line when we know the slope and at least one point. Then, we will rewrite the equation in slope-intercept form. Most applications of linear equations use the ...The y-intercept is the point in a function where the value of the x-coordinate is zero. By definition, a function has only one y-intercept. The x-intercept is the point in a functi...The y-intercepts are points where the graph of a function or an equation crosses or “touches” the [latex]y [/latex]-axis of the Cartesian Plane. You may think of this as …Use the slope that we found, together with ANY of the two given points. In this exercise, I will show you that we should arrive at the same value of the [latex]y[/latex]-intercept regardless of which point is selected for the calculation. Finding the [latex]y[/latex]-intercept. Using the first point [latex]\left( {4,\,5} \right)[/latex].Upon opening the suitcase, 34 pieces of carved elephant ivory were discovered, along with carved warthog and hippopotamus tusks. Earlier this month, US Customs and Border Protectio... How to Find the X-Intercepts and Y-Intercepts The X-Intercepts. The x-intercepts are points where the graph of a function or an equation crosses or “touches” the [latex]x[/latex]-axis of the Cartesian Plane. You may think of this as a point with [latex]y[/latex]-value of zero. Solution. Find the y-intercept with 2 points: Let ( x 1, y 1) and ( x 2, y 2) be the two given points. Slope of the line passing through the given points is: m = y 2 - y 1 x 2 - x 1. The equation of a line in slope-intercept form is: y = m x + c. Here, m is the slope of the line and c is the y-intercept. Now, substitute the two points in m = y ...Learn how to find the x and y intercepts of an equation by setting x or y equal to zero and solving for the other variable. See examples, graphs and practice questions with answers. Step 1: Find the slope (m). Use the formula to find the slope between the two points. Once you know the slope, plug it in for m in y = mx + b. This gives you y = 3x + b. Step 2: Find the y-intercept (b). Pick one of the points on the line and use the x and y values to find b. It does not matter which point you choose. You can use intercepts to graph linear equations. Once you have found the two intercepts, draw a line through them. Let’s do it with the equation 3y+2x= 6 3 y + 2 x = 6. You figured out that the intercepts of the line this equation represents are (0,2) ( 0, 2) and (3,0) ( 3, 0). That’s all you need to know.Find the y-intercept of a function by entering its equation and clicking on the calculator button. The calculator will show the y-intercept step-by-step and …Step 1: Note down the coordinates of the two points lying on the line as (x 1 1, y 1 1) and (x 2 2, y 2 2 ). Step 2: Apply the two point formula given as, y−y1 y − y 1 = y2−y1 x2−x1 (x−x1) y 2 − y 1 x 2 − x 1 ( x − x 1). Step 3: Simplify the obtained equation to the form, y … One way to plot a line is to plot any two points that are on the line, and for an equation in standard from like this one, two easy points to find at the x and y intercepts--the values where x=0 and y=0. To find the x intercept, plug y=0 into 6x-6y=-6 and you get 6x-6 (0)=-6 which simplifies to 6x=-6 or x=-1. Feb 10, 2023 · Now write your answer in coordinate form, with the x-value and y-value of the intersection points. If you have two answers, make sure you match the correct x-value to each y-value. Example: When we plugged in =, we got =, so one intersection is at (2, 9). The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁). Here, m = slope of the line. x₁ = the x-coordinate of the first point. y₁ = the y-coordinate of the first point. x₂ = the x-coordinate of the second point. y₂ = the x-coordinate of the second point. We know that we ... Then the equation is y−c=mx or, equivalently, y=mx+c. This is often called the gradient–intercept form of the equation of the line. Line through two points.The Y-Intercepts. The y-intercepts are points where the graph of a function or an equation crosses or “touches” the [latex]y[/latex]-axis of the Cartesian Plane. You may think of this as a point with [latex]x[/latex]-value of zero. ... Example 2: Find the x and y-intercepts of the line [latex]y = – 2x + 4[/latex].How the equation of a line relates to the graph of its y-intercept. The Y-Intercept of a line is the point where a line 's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).Your y intercept is where the line your two points make crosses the y axis. You find this by taking one of your coordinates, (3,4) and you substitute it into the equation y = mx + c. y = mx + c. 4 = 3x + c. 4 - 3 = c. c = 1. The first number in your coordinate is your x value and the second is your y value. (x,y) Example: Find the intercepts of y = x 2 − 4. x intercept: set y=0. 0 = x 2 − 4. x 2 = 4. x = 2 or −2. The points are (2,0) and (−2,0) y intercept: set x=0. y = 0 2 − 4. y = −4. The point is (0,-4) And here is the graph of x 2 - 4 to confirm what we found: If you have two points on a line, then you can also find the slope-intercept form. The first step to do this is to find the slope using the slope formula we showed above. m = (y 2 – y 1) (x 2 – x 1) Substitute the coordinates (x1, y1) and (x2, y2) for the two points in the slope formula, then solve for m.In this two-page algebra worksheet for eighth grade, students will review how to find the slope and y-intercept of a line that passes through two given points. Then they are asked to find the slope and y-intercept of the line that passes through given points and write an equation of the line in slope-intercept form. With two pages of practice ...If x is 6, 1/2 x 6 is 3, -3 is indeed equal to 0. So now that we know what an x-intercept is, it's the point where a graph intersects the x-axis or intercepts ...plot the point (8, 5 8/9) which is just below of (5,6) and then draw a line through the two points. The other method you can use is to plot the y-intercept. The equation y=5/8x+8/9 is is slope y-intercept form. so the y intercept is at (0,8/9). Plot that point. The slope is 5/8, so from your y-intercept point, count right 8 and then go up 5.Then the equation is y−c=mx or, equivalently, y=mx+c. This is often called the gradient–intercept form of the equation of the line. Line through two points.To find the y-intercept using two points, we first need to calculate the slope (m). Consider two points on the line, for example, (3, 5) and (6, 11). The slope is calculated using the formula: For the points (3, 5) and (6, 11), the slope m is calculated as: Once the slope is determined, the next step is to find the y-intercept, b. Example: Find the intercepts of y = x 2 − 4. x intercept: set y=0. 0 = x 2 − 4. x 2 = 4. x = 2 or −2. The points are (2,0) and (−2,0) y intercept: set x=0. y = 0 2 − 4. y = −4. The point is (0,-4) And here is the graph of x 2 - 4 to confirm what we found: Finding the y-intercept of a line given 2 points and using the slope intercept form.Jan 30, 2024 · The y-intercept of the line. The angle the line makes with respect to the x-axis (measure anti-clockwise). Slope as a percentage (percentage grade). The distance between the two points. For example, say you have a line that passes through the points (1, 5) and (7, 6). Enter the x and y coordinates of the first point, followed by the x and y ... y = mx + b. This form of the equation of a line is called the slope-intercept form. The function defined by the equation f(x) = mx + b is called a linear function. It is important to note two key facts about the slope-intercept form y = mx + b. The coefficient of x (the m in y = mx + b) is the slope of the line.10 years ago. y = a (x-h)^2 + k is the vertex form equation. Now expand the square and simplify. You should get y = a (x^2 -2hx + h^2) + k. Multiply by the coefficient of a and get y = ax^2 -2ahx +ah^2 + k. This is standard form of a quadratic equation, with the normal a, b and c in ax^2 + bx + c equaling a, -2ah and ah^2 + k, respectively.plot the point (8, 5 8/9) which is just below of (5,6) and then draw a line through the two points. The other method you can use is to plot the y-intercept. The equation y=5/8x+8/9 is is slope y-intercept form. so the y intercept is at (0,8/9). Plot that point. The slope is 5/8, so from your y-intercept point, count right 8 and then go up 5.example 1: Determine the equation of a line passing through the points and . example 2: Find the slope - intercept form of a straight line passing through the points and . example 3: If points and are lying on a straight line, determine the slope-intercept form of the line.A vertex is a corner, where two lines meet. A straight line by itself doesn't have a vertex. The easiest way to find the x intercept is to figure out what value x will have when y = 0. So if you have an equation of a line: 2y + 4x = 28. you substitue "0" in …Sep 9, 2011 ... This video provides an example of how to determine the equation of a line in slope-intercept form given two points on the line.The point-slope form of an equation of a line with slope m and containing the point (x1,y1) is: y −y1 = m(x −x1) We can use the point-slope form of an equation to find an equation of a line when we know the slope and at least one point. Then, we will rewrite the equation in slope-intercept form. Most applications of linear equations use the ...If x is equal to 0, this equation becomes y is equal to m times 0 plus b. m times 0 is just going to be 0. I don't care what m is. So then y is going to be equal to b. So the point 0, b is going to be on that line. The line will intercept the y-axis at the point y is equal to b. We'll see that with actual numbers in the next few videos.Then the equation is y−c=mx or, equivalently, y=mx+c. This is often called the gradient–intercept form of the equation of the line. Line through two points.Since m is the slope, my equation would look a little something like this: 2 = 2*1 + b. From there, we can solve for b, and see that b = 0: 2 = 2 + b. 2 - 2 = 2 + b - 2. 0 = b. Since b is 0, our completed equation looks like this: y = 2x + 0. To find the intercepts of this equation, we just substitute a 0 in the right place.A quadratic function is a polynomial function of degree two. The graph of a quadratic function is a parabola. The general form of a quadratic function is f(x) = ax2 + bx + c where a, b, and c are real numbers and a ≠ 0. The standard form of a quadratic function is f(x) = a(x − h)2 + k where a ≠ 0.
Solution. Find the y-intercept with 2 points: Let ( x 1, y 1) and ( x 2, y 2) be the two given points. Slope of the line passing through the given points is: m = y 2 - y 1 x 2 - x 1. The equation of a line in slope-intercept form is: y = m x + c. Here, m is the slope of the line and c is the y-intercept. Now, substitute the two points in m = y .... Do i have internet
In y = mx + b, m is the slope, and the point coordinate will contain both x and y. Then, solve for b to find the y-intercept.A vertex is a corner, where two lines meet. A straight line by itself doesn't have a vertex. The easiest way to find the x intercept is to figure out what value x will have when y = 0. So if you have an equation of a line: 2y + 4x = 28. you substitue "0" in … Practice Problems. Write the slope intercept form for the lines below. Problem 5. A line with a slope of 2 and a y-intercept of 12. Problem 6. A line with a slope of 3 and a y-intercept of -5. Problem 7. A line with a slope of ½ and a y-intercept of 7. Worksheet (Worksheet with answer key on this page's topic) Learn how to write an equation for a line given two points on it. Find the slope and the y-intercept using the slope-intercept form y=mx+b.The function intercepts points are the points at which the function crosses the x-axis or the y-axis. These points are called x-intercepts and y-intercepts, respectively. What is the formula for slope and y-intercept? The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept. ... How the equation of a line relates to the graph of its y-intercept. The Y-Intercept of a line is the point where a line 's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4). The slope–intercept form of an equation of a line with slope mm and y -intercept, (0, b) is, y = mx + b. Sometimes the slope–intercept form is called the “ y -form.”. Exercise 6.6.1. Use the graph to find the slope and y -intercept of the line, y = 2x + 1. Compare these values to the equation y = mx + b. Answer.Y = mx + b is the equation for a straight line. “B” is the point value of where the line intercepts the y axis, called the y intercept. “M” is the value of the slope of the line. “...Jan 18, 2024 · If you are given a point-slope form of a line, you can get the slope intercept by following these steps: Write down your point-slope form: y - b = m (x - a) Expand the right-hand side: y - b = mx - ma. Add b to both sides: y = mx - ma + b. This is slope-intercept form! The slope is m, and the intercept is -ma + b. We get the y-intercept by using the equation of a straight line which is; y = mx + b. Where; m is the gradient of the slope; b is the y-intercept. We can use the following formula to calculate the y-intercept. y – a = m ( x – b ) a and b being a point on a line. Example 1: Suppose you have a straight line whose gradient is 3 and a point 2,1 ... So, we need to calculate it. Remember, "b" in the form: "y=mx+b" is the y-intercept. We're going to use this formula ...The slope-intercept formula of a line is written as y = m x+b, where m is the slope and b is the y-intercept (the point on the y-axis where the line crosses it). Plug the number you found for your slope in place of m. In our example, the formula would read y = 1x+b or y = x+b when you replace the slope value. 3.Learn how to find the x and y intercepts of an equation by setting x or y equal to zero and solving for the other variable. See examples, graphs and practice questions with answers.Learn how to find the y-intercept of a function by substituting x=0 and solving for y. See the y-intercept formula for different forms of lines and parabolas, and examples with graphs and tables.Unless that line is exactly vertical, it will always cross the y-axis somewhere, even if it is way off the top or bottom of the chart. Formula for the intercept of a line Below are two ways to find the intercept. Use either one depending on what you are given to start. Given the slope of the line and any point on the line The intercept (b) is ...Learn how to use the slope-intercept form of a linear equation to find the y-intercept of a line given two points. See examples, explanations and step-by …In y = mx + b, m is the slope, and the point coordinate will contain both x and y. Then, solve for b to find the y-intercept. Use the slope that we found, together with ANY of the two given points. In this exercise, I will show you that we should arrive at the same value of the [latex]y[/latex]-intercept regardless of which point is selected for the calculation. Finding the [latex]y[/latex]-intercept. Using the first point [latex]\left( {4,\,5} \right)[/latex]. .
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