Find the equation of the line through the point (-2, 0) and perpendicular to the line whose equation is 2x + 3y = 6.Write answer in the slope intercept form.

Question

1. Find the equation of the line through the point (-2, 0) and perpendicular to the line whose equation is 2x + 3y = 6.Write answer in the slope intercept form.

Answer 1

y = mx + b

The product of slopes of perpendicular lines is -1, so

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

Find b from the given point.

0 = (3/2)(-2) + b

b = 3

y = (3/2)x + 3