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

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.

Step-2 –Compute the intercepts

Consider the equation $y - x = - 9$ .

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

\begin{matrix} 0 - x = - 9 \\ - x = - 9 \\ x = 9 \end{matrix}

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.

\begin{matrix} y - 0 = - 9 \\ y = - 9 \end{matrix}

Therefore, the x-intercept is $- 9$ .

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

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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Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.
$y - x = - 9$

Short Answer

Step by step solution

Step-1 – Apply the concept of intercepts

Step-2 –Compute the intercepts

Step-3 – Graph the equation

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Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.y-x=-9

Short Answer

Step by step solution

Step-1 – Apply the concept of intercepts

Step-2 –Compute the intercepts

Step-3 – Graph the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Geometry

Theoretical and Mathematical Physics

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.
$y - x = - 9$