Answer
Hence, the correct graph is $D.$
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 $D.$
