Denise G. answered 12/10/19
Algebra, College Algebra, Prealgebra, Precalculus, GED, ASVAB Tutor
The line perpendicular to this one will have a slope equal to the negative reciprocal. In the equation provided, the slope is -3. So m=1/3 for the line perpendicular. Then you can use the following equation. (y-y1)=m(x-x1)
Plug in the values of (x1,y1) using the point provided. (-4,5)
(y-5)=1/3(x-(-4)) Simplify
(y-5)=1/3(x+4)Distribute
y-5=1/3x+4/3 Add 5 to both sides
y-5+5=1/3x+4/3+5 Simplify
y=1/3x+19/3