Answer
The last step is wrong.
The correct answer is
The $x-$ intercept is $8$, so the point is $A=(8,0)$.
The $y-$ intercept is $2$, so the point is $B=(0,2)$.
Work Step by Step
The given linear equation is
$\Rightarrow 3x+12y=24$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow 3x+12(0)=24$
Simplify.
$\Rightarrow 3x=24$
Divide each side by $3$.
$\Rightarrow \frac{3x}{3}=\frac{24}{3}$
Simplify.
$\Rightarrow x=8$
The $x-$ intercept is $8$, so the point is $A=(8,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 3(0)+12y=24$
Simplify.
$\Rightarrow 12y=24$
Divide each side by $12$.
$\Rightarrow \frac{12y}{12}=\frac{24}{12}$
Simplify.
$\Rightarrow y=2$
The $y-$ intercept is $2$, so the point is $B=(0,2)$
Hence, the last step is wrong.