Question

On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

(–6, 0)
(0, –6)
(0, 2)
(2, 0)

Answer 1

Slope of AB = (-8 - 4)/(2 - (-2)) = -12/4 = -3.
Perpendicular slope = 1/3. Equation through C(6,4): y - 4 = (1/3)(x - 6). At x = 0: y - 4 = (1/3)(-6) = -2, so y = 2.

Answer: (0, 2)