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Chapter 2: Q25. (page 101)

Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.

y-x=-9

Short Answer

Expert verified

The x-intercept of the equation is 9 and y-intercept is -9. The graph of the equation y-x=-9 is provided below.

Step by step solution

01

Step-1 – Apply the concept of intercepts

The x-intercept of a graph is when the y-coordinate is 0. The point where the graph of the equation cuts the x-axis.

The y-intercept of a graph is when the x-coordinate is 0. The point where the graph of the equation cuts the y-axis.

02

Step-2 –Compute the intercepts

Consider the equation y-x=-9.

To compute the x-intercept, substitute y as 0 in the equation.

0鈭�x=鈭�9鈭�x=鈭�9x=9

Therefore, the x-intercept is 9.

Thus, the point at which graph crosses the x-axis is 9,0.

To compute the y-intercept, substitute x as 0 in the equation.

y鈭�0=鈭�9y=鈭�9

Therefore, the x-intercept is -9.

Thus, the point at which graph crosses the y-axis is 0,-9.

03

Step-3 – Graph the equation

Plot the obtained ordered pairs 9,0 and 0,-9 on Cartesian plane to obtain the graph of the equation y-x=-9.

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