Question 658944
The slope of y-8=3(x-5) is 3.


Rewrite 3 as 3/1. Then flip the fraction and flip the sign to get -1/3


So the perpendicular slope is m = -1/3


Use this (m = -1/3) and the given point (0,4) and plug them into y = mx+b to get


y = mx + b


4 = (-1/3)(0) + b


Now solve for b


4 = 0 + b


4 = b


b = 4



So the equation of the perpendicular line is <img src="http://latex.codecogs.com/gif.latex?\Large y = -\frac{1}{3}x+4" title="x" />