Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow x-6y=24$
$x-$ intercept.
Substitute $0$ for $y$.
$\Rightarrow x-6(0)=24$
Simplify.
$\Rightarrow x+0=24$
$\Rightarrow x=24$
The $x−$ intercept is $24$, so plot the point $A=(24,0)$
$y-$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 0-6y=24$
Simplify.
$\Rightarrow -6y=24$
Divide each side by $-6$.
$\Rightarrow \frac{-6y}{-6}=\frac{24}{-6}$
Simplify.
$\Rightarrow y=-4$
The $y−$ intercept is $-4$, so plot the point $B=(0,-4)$.
Draw a line through the points A and B.
