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