24 What is an equation of the line that is perpendicular to

24. What is an equation of the line that is perpendicular to the line y =- -1 and passes through the point (-4, 2)?

Solution

m = -2/3

A line perpendicular to it will have m1 slope such that:

m1 * (-2/3) = -1

m1 = 3/2

Point (-4,2)

(y-2) = (3/2)*(x-(-4))

y-2 = 1.5x +6

1.5x -y + 8 = 0