Answer
a)
The $x$-intercept is $-10$.
The $y$-intercept is $8$.
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.
$-4x+5y=40$
$-4x+5(0)=40$
$-4x=40$
$x=-10$
The $x$-intercept is $-10$ and the point $(-10,0)$ is on the line.
In order to find the $y$-intercept, let $x=0$ and we have to solve the equation.
$-4x+5y=40$
$-4(0)+5y=40$
$5y=40$
$y=8$
The $y$-intercept is $8$ and the point $(0,8)$ is on the line.
b) In order to sketch the line, we only have to plot the intercepts then connect them using a line.
