Question

A triangle has one side that lies along the line y = 3x-1 and another that lies along the line y = -2x. Which of the following points could be a vertex of the triangle?

A. (2,5)
B. (-1,-2)
C. (1,-4)
D. (4,8)
Thanks

Answer 1

I The point (2,5) lies on the line y = 3x-1, but not on the line y = -2x.

The point (-1,-2) lies on the line y = -2x, but not on the line y = 3x-1.

The point (1,-4) lies on neither line.

The point (4,8) lies on the line y = 3x-1, but not on the line y = -2x.

Therefore, the only point that could be a vertex of the triangle is (-1,-2), as it lies on both lines