Answer
Hence, the correct graph is $B.$
Work Step by Step
The given linear equation is
$\Rightarrow 5x-3y=-30$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow 5x-3(0)=-30$
Simplify.
$\Rightarrow 5x=-30$
Divide each side by $5$.
$\Rightarrow \frac{5x}{5}=-\frac{30}{5}$
Simplify.
$\Rightarrow x=-6$
The $x-$ intercept is $-6$, so plot the point $A=(-6,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 5(0)-3y=-30$
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 $B$.
Hence, the correct graph is $B.$
