20 POINTS!!! WILL GIVE BRAINLIEST IF CORRECT!!!
Write an equation in slope-intercept form for the line that is perpendicular to y=-4x+2 and passes through the point (-4,3).
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]
