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To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve for y. How do you find the Y intercept with two points and slope?

Example 1: Graph the equation of the line 2x - 4y = 8 using its intercepts. I hope you recognize that this is an equation of a line in Standard Form where both the x and y variables are found on one side of the equation opposite the constant term. It is a common practice in an algebra class to ask students to graph the line using the intercept method when the line is in Standard Form.

Write an equation in slope-intercept form for the line with slope 6 and y-intercent -9. Then graph the line. Equation: DO x ?

Sep 03, 2006 · The question "Is Y proportional to X?" has traditionally been answered graphically - if Y is proportional to X, then the equation relating Y and X is Y = mX + b for some constants m and b, and the graph of Y versus X will be a straight line with slope m and y-intercept b.

To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). y = 5x + 3.5. The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis. 0 = 5x + 3.5; –3.5 = 5x; x = –3.5 / 5 or –0.7.

The slope and y-intercept calculator takes a linear equation and allows you to calculate the slope and y-intercept for the equation. The equation can be in any form as long as its linear and and you can find the slope and y-intercept. Step 2: Click the blue arrow to submit and see the result!

y = mx + b Write the slope-intercept form. y = 0x + (−2) Substitute 0 for m and −2 for b. y = −2 Simplify. An equation is y = −2. Using Graphs to Write Equations Write an equation of each line in slope-intercept form. a. x y 2 −2 2 4 (0, −3) (4, 3) b. x y 4 −2 2 4 (4, −1) (0, 2) SOLUTION a. Find the slope and y-intercept. Let (x ...

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b is the y-intercept of the line x is the independent variable of the function y = f(x) The slope of the line through points (x1, y1) and (x2, y2) is given by m = (y2 – y1)/ (x2 – x1), and the equation of this line can be written

Students will graph the line given a point and slope. 12 problems. ... Graphing slope-intercept with some horizontal and vertical lines. ... Finding x and y intercepts 1:

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Example 4 Graph x . y. Solution First graph x = y. Next check a point not on the line. Notice that the graph of the line contains the point (0,0), so we cannot use it as a checkpoint. To determine which half-plane is the solution set use any point that is obviously not on the line x = y. The point ( - 2,3) is such a point.

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y x this line has a positive gradient this line has a negative gradient the gradient of this line is zero y x x The value of c is called the verticalinterceptof the line. It is the value of y when x = 0. When drawing a line, c gives the position where the line cuts the vertical axis. x x the vertical intercept is negative y the vertical ...

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Since p(x)=2x +4has2asaroot,ithasanx-intercept at 2. The y-intercept is the point in the graph whose ﬁrst coordinate equals 0, and that’s the point (0,p(0)) = (0,4). To graph 2x+4,drawthelinepassingthrough the x-andy-intercepts. Behind the name. Degree 1 polynomials are called linear polynomials because their graphs are straight lines

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Jul 03, 2010 · Since the y-intercept is where the graph crosses the y-axis, the ordered pair for this y-intercept would be (0, 0). c) Functional Value Since the functional value correlates with the second or y value of an ordered pair, then the functional value at x = 5 is 4.

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In this delightful and challenging activity, students will transform lines so that the marbles go through the stars. Students will test their ideas by launching the marbles and will have a chance to revise before trying the next challenge.

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Aug 17, 2020 · The y-intercept of a line is the value of \(y\) where the line crosses the y-axis. In other words, it is the value of \(y\) when the value of \(x\) is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.

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y x this line has a positive gradient this line has a negative gradient the gradient of this line is zero y x x The value of c is called the verticalinterceptof the line. It is the value of y when x = 0. When drawing a line, c gives the position where the line cuts the vertical axis. x x the vertical intercept is negative y the vertical ...

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All we have to do is put 0 for x and calculate y, as you started to do: y = 4x + 8; x = 0 y = 4*0 + 8 = 8 So the y-intercept is 8; that is, one point we can graph is (0, 8). The x-intercept is the opposite. It's the point on the line where y is zero. This time we have to set y to zero and solve for x: y = 4x + 8 and y = 0 0 = 4x + 8 -8 = 4x -2 ...

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The value of b indicates the point on the y axis that the line will cross. In the graph above (y = 2x + 1), a has the value 2 so the slope is 2 and is positive. The value of b is 1 so the line crosses the y axis at the point y = 1. The straight line is the simplest type of graph. Other types of equations will give graphs of different shapes.

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