Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow 3x-y=-5$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow 3x-0=-5$
Simplify.
$\Rightarrow 3x=-5$
Divide each side by $3$.
$\Rightarrow \frac{3x}{3}=-\frac{5}{3}$
Simplify.
$\Rightarrow x=-\frac{5}{3}$
The $x-$ intercept is $-\frac{5}{3}$, so plot the point $A=(-\frac{5}{3},0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 3(0)-y=-5$
Simplify.
$\Rightarrow 0-y=-5$
$\Rightarrow -y=-5$
Multiply each side by $-1$.
$\Rightarrow -1(-y)=-1(-5)$
Simplify.
$\Rightarrow y=5$
The $y-$ intercept is $5$, so plot the point $B=(0,5)$
Draw a line through the points $A$ and $B$.
