Answer
a)
The $x$-intercept is $2$.
The $y$-intercept is $-3$.
b) See the graph below.
Work Step by Step
a)
In order to find the $x$-intercept, let $y=0$ and we have to solve the equation.
$3x-2y=6$
$3x-2(0)=6$
$3x=6$
$x=2$
The $x$-intercept is $2$ and the point $(2,0)$ is on the line.
In order to find the $y$-intercept, let $x=0$ and we have to solve the equation.
$3x-2y=6$
$3(0)-2y=6$
$-2y=6$
$y=-3$
The $y$-intercept is $-3$ and the point $(0,-3)$ is on the line.
b) In order to sketch the line, we only have to plot the intercepts and connect them using a line.
