Question

20 POINTS!!! WILL GIVE BRAINLIEST IF CORRECT!!!

Answer 1

We want the slope perpendicular to the original slope, so the negative reciprocal is required. 
$\frac {1}{4}$

Since the slope-intercept formula is $y=mx+b$, we definitely want to go to point slope form ($y-y_{1}=m(x-x_{1})$) and solve from there.

$y-3=\frac {1}{4}(x+4)$
We now apply the Distributive Property.
$y-3=\frac {1}{4}x+1$
Now finish this off with the Addition Property of Equality.
$y=\frac {1}{4}x+4$

Hope this helps! :^)