A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following points could be a vertex of the triangle?

Question

A. (4,4)
B. (0,0)
C. (-4,-2)
D. (1,8)
E. (-2,-8)

Answer 1

clearly the lines intersect where

1/4 x = -1/4 x
1/2 x = 0
x = 0
so, y=0

Looks like B to me.

You can easily check to see that none of the other points lies on either line.