Question

What is the equation of a line that passes through (-2,-3) and is perpendicular to 2x-3y=6

A) y=-3/2x-6
B) y=-2/3x+6
C) y=2x+3
D) y=3/2x

Answer 1

For the perpendicular family we swap the coefficients on x and y, negating one. The point fixes the constant:

3x+2y = 3(-2)+2(-3)=-12

2y = -3x - 12

y = -3/2 x - 6

Choice A