Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow 3x+5y=-15$
$x-$ intercept.
Substitute $0$ for $y$.
$\Rightarrow 3x+5(0)=-15$
Simplify.
$\Rightarrow 3x+0=-15$
$\Rightarrow 3x=-15$
Divide each side by $3$.
$\Rightarrow \frac{3x}{3}=-\frac{15}{3}$
Simplify.
$\Rightarrow x=-5$
The $x−$ intercept is $-5$, so plot the point $A=(-5,0)$
$y-$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 3(0)+5y=-15$
Simplify.
$\Rightarrow 0+5y=-15$
$\Rightarrow 5y=-15$
Divide each side by $5$.
$\Rightarrow \frac{5y}{5}=-\frac{15}{5}$
Simplify.
$\Rightarrow y=-3$
The $y−$ intercept is $-3$, so plot the point $B=(0,-3)$.
Draw a line through the points A and B.
