Chapter 13.1, Problem 7PSA

To determine

To find: The x and y-intercepts of the graph of $y=2x-6$ .

Answer to Problem 7PSA

The x and y-intercepts of the graph of $y=2x-6$ are $\left(3,0\right)$ , and $\left(0,-6\right)$ respectively.

Explanation of Solution

Given:

The equation is $y=2x-6$ .

Calculation:

Substitute 0 for $x$ in the equation $y=2x-6$ to find $y$ intercept.

  $\begin{array}{c}y=2\left(0\right)-6\\ =-6\end{array}$

The y-intercept is $\left(0,-6\right)$ .

Substitute 0 for $y$ in the equation $y=2x-6$ to find $x$ intercept.

  $\begin{array}{c}0=2x-6\\ 2x=6\\ x=\frac{6}{2}\\ =3\end{array}$

The x-intercept is $\left(3,0\right)$ .

Therefore, the x and y-intercepts of the graph of $y=2x-6$ are $\left(3,0\right)$ , and $\left(0,-6\right)$ respectively.