Answer
a)
The $x$-intercept is $4$.
The $y$-intercept is $-6$.
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.
$x-\frac{2}{3}y=4$
$x-\frac{2}{3}(0)=4$
$x=4$
The $x$-intercept is $4$ and the point $(4,0)$ is on the line.
In order to find the $y$-intercept, let $x=0$ and we have to solve the equation.
$x-\frac{2}{3}y=4$
$0-\frac{2}{3}y=4$
$-\frac{2}{3}y=4$
$y=-6$
The $y$-intercept is $-6$ and the point $(0,-6)$ is on the line.
b) In order to sketch the line, we only have to plot the intercepts and connect them using a line.
