Question

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

Answer 1

Answer: A: y = -3/2x - 6

Explanation:

1.5 is the same as 3/2.

(Fraction Mode)

Answer 2

rewriting the given equation,
y = (2/3)x - 2
so the equation's slope will be -3/2.
y-y1 = m(x-x1)
y+3 = (-3/2)(x + 2)
y+3 = (-3/2)x -3
y = -1.5x - 6