Answer
$3$ is the $x$-intercept.
$2$ is the $y$-intercept.
The graph is in the picture below
Work Step by Step
At the $x$-intercept we know that the point's $y$-coordinate will be $y=0$.
Therefore we have to plug in $y=0$ to the equation in order to find the x-coordinate too.
$2x+3y=6$
$2x+3(0)=6$
$2x=6$
$x=3$
$3$ is the $x$-intercept so $(3, 0)$ is on the line..
At the $y$-intercept we know that the point's x-coordinate will be $x=0$.
Therefore we have to plug in $x=0$ to the equation in order to find the x-coordinate too.
$2x+3y=6$
$2(0)+3y=6$
$3y=6$
$y=2$
$2$ is the $y$-intercept so $(0, 2)$ is on the line.
Plot the two points then connect them using a line.
Refer to the graph above.
