Question

Which value of m will create a system of parallel lines with no solution?

y=mx-6

8x-4y=12

A coordinate grid with one line labeled 8 x minus 4 y equals 12. The line passes through a point at (0, negative 3), (1, negative 1) and a point at (1.5, 0).

-2
-

2

Answer 1

Parallel lines have the same slope. Rewrite 8x − 4y = 12 as y = 2x − 3, so its slope is 2.

Thus m = 2 (and since the y-intercepts −6 and −3 differ, the lines are distinct and have no solution).