Answer
True
Work Step by Step
Rewrite the given equation using the distributive property.
$\Rightarrow y-12=8x-16$
Add $12$ to both sides.
$\Rightarrow y-12+12=8x-16+12$
Simplify.
$\Rightarrow y=8x-4$
This is the standard slope-intercept form,
where the $y-$intercept is $-4$.
Now change the subtraction signs to addition signs.
$\Rightarrow y+12=8(x+2)$
Simplify.
$\Rightarrow y+12=8x+16$
Subtract $12$ from both sides.
$\Rightarrow y+12-12=8x+16-12$
Simplify.
$\Rightarrow y=8x+4$
This is the standard slope-intercept form,
where the $y-$intercept is $4$.
Therefore the given statement is true.
