Chapter 1.2, Problem 20AYU

In Problems 11-22, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.

$y=3x-9$

To determine

To find: The intercepts and graph of the equation $y=3x-9$.

Answer to Problem 20AYU

The $\left(0,-9\right)$ and $\left(3,0\right)$ are the intercepts.

Explanation of Solution

Given:

The equation $y=\text{3}x-9$.

Calculation:

First, find the intercepts of $y=3x-9$. When $x=0$, then $y=-9$; and when $y=0$, then $x=3$. The $\left(0,-9\right)$ and $\left(3,0\right)$ are the intercepts.

To graph by hand, use the equation to obtain several points on the graph. Points on the graph could also be obtained using the TABLE feature.

$x$	$y=3x-9$	$\left(x,y\right)$
0	$-9$	$\left(0,-9\right)$
1	$-6$	$\left(1,-6\right)$
2	$-3$	$\left(2,-3\right)$
3	0	$\left(3,0\right)$

The graph is given below.