What is the equation of a line perpendicular to y=-2/3x-7 if it passes through (-4,2)?

Answer 1

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

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

y = (3/2)x + b

Use the given point to find b.

2 = (3/2)(-4) + b

You can finish from here.