Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -4x+3y=-30$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -4x+3(0)=-30$
Simplify.
$\Rightarrow -4x=-30$
Divide each side by $-4$.
$\Rightarrow \frac{-4x}{-4}=\frac{-30}{-4}$
Simplify.
$\Rightarrow x=\frac{15}{2}$
The $x-$ intercept is $\frac{15}{2}$, so plot the point $(\frac{15}{2},0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -4(0)+3y=-30$
Simplify.
$\Rightarrow 0+3y=-30$
$\Rightarrow 3y=-30$
Divide each side by $3$.
$\Rightarrow \frac{3y}{3}=\frac{-30}{3}$
Simplify.
$\Rightarrow y=-10$
The $y-$ intercept is $-10$, so plot the point $B=(0,-10)$
Draw a line through the points $A$ and $B$.
