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

y = mx - 6

8x - 4y = 12

Two lines with slopes say 'm1' and 'm2' will be parallel only when m1 = m2.

Now, consider the second equation: 8x-4y=12 8x-4y=12

Rearranging in the slope intercept form, we get y = 8x 4 - 124 = 2x-3 y = 8x 4 - 124 = 2x-3

In order for the two lines to be parallel, the slopes should be equal. Thus m=2