[tex]\large\boxed{y=\frac{1}{4}x+2}[/tex]
The point-slope form is actually [tex]y-4=\frac{1}{4}(x-8)[/tex]; I assume there was a copy/paste issue.
Also, the correct answer is not in the answer choices given; again assuming a copy/paste issue.
Start by distributing the [tex]\frac{1}{4}[/tex] to [tex]x[/tex] and [tex]-8[/tex].
[tex]y-4=\dfrac{1}{4}x-2[/tex]
Add [tex]4[/tex] to both sides of the equation.
[tex]\begin{aligned}y-4+4&=\frac{1}{4}x-2+4\\y&=\frac{1}{4}x+2\end{aligned}[/tex]
