Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -7x-2y=-21$
$x-$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -7x-2(0)=-21$
Simplify.
$\Rightarrow -7x+0=-21$
$\Rightarrow -7x=-21$
Divide each side by $-7$.
$\Rightarrow \frac{-7x}{-7}=\frac{-21}{-7}$
Simplify.
$\Rightarrow x=3$
The $x−$ intercept is $3$, so plot the point $A=(3,0)$
$y-$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -7(0)-2y=-21$
Simplify.
$\Rightarrow 0-2y=-21$
$\Rightarrow -2y=-21$
Divide each side by $-2$.
$\Rightarrow \frac{-2y}{-2}=\frac{-21}{-2}$
Simplify.
$\Rightarrow y=\frac{21}{2}$
The $y−$ intercept is $\frac{21}{2}$, so plot the point $B=(0,\frac{21}{2})$.
Draw a line through the points A and B.
