what is a line perpendicular to y=-2/3x+12 at point (-3,14)

Question

 how to make it perpendicular and go through the point

Answer 1

Its slope must be

 

m = -1/(-2/3) = 3/2

 

y = (3/2)x + b

 

Get b from the given point.

 

14 = (3/2)(-3) + b

 

b = 14 + 9/2 = 37/2

 

y = (3/2)x + 37/2