Answer
The $x$-intercept is: $3$.
The $y$-intercept is $2$.
See the graph below.
Work Step by Step
n 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.
$2x+3y=6$
$2x+3(0)=6$
$2x=6$
$x=3$
The same thing should be done for the $y$-intercept, however, here $x=0$ should be plugged into the equation.
$2x+3y=6$
$2(0)+3y=6$
$3y=6$
$y=2$
The x-intercept is: $3$.
The y-intercept is $2$.
Few other points that will help us plot the graph:
If $x=-6$
$2(-6)+3y=6$
$3y=18$
$y=6$
The point $(-6,6)$ is on the graph.
If $x=-3$
$2(-3)+3y=6$
$3y=12$
$y=4$
The point $(-3,4)$ is on the graph.
If $x=6$
$2(6)+3y=6$
$3y=-6$
$y=-2$
The point $(6,-2)$ is on the graph.
