Answer
The $x$-intercept is $3$.
The $y$-intercept is $-9$.
See the graph below.
Work Step by Step
In order to find the $x$-intercept, we have to plug $y=0$ into the equation, and the $x$-coordinate will give us the intercept itself.
$y=3x-9$
$0=3x-9$
$x=3$
The same thing should be done for the $y$-intercept, however, here $x=0$ should be plugged into the equation.
$y=3x-9$
$y=3(0)-9$
$y=-9$
The x-intercept is $3$ and the $y$-intercept is $-9$.
Few other points that will help us plot the graph:
If $x=2$
$y=3(2)-9=-3$
The point $(2,-3)$ is on the graph.
If $x=4$
$y=3(4)-9=3$
The point $(4,3)$ is on the graph.
If $x=5$
$y=3(5)-9=6$
The point $(5,6)$ is on the graph.
