We want the slope perpendicular to the original slope, so the negative reciprocal is required.
[tex]\frac {1}{4}[/tex]
Since the slope-intercept formula is [tex]y=mx+b[/tex], we definitely want to go to point slope form ([tex]y-y_{1}=m(x-x_{1})[/tex]) and solve from there.
[tex]y-3=\frac {1}{4}(x+4)[/tex]
We now apply the Distributive Property.
[tex]y-3=\frac {1}{4}x+1[/tex]
Now finish this off with the Addition Property of Equality.
[tex]y=\frac {1}{4}x+4[/tex]
Hope this helps! :^)
