Which value of m will create a system of parallel lines with no solution?
y = mx – 6
8x – 4y = 12

m =

Rearranging y = 8x -4y = 12 in the y = mx + b form gives y = 2x - 3

y = 2x - 3

y = mx - 6 (already in y = mx + b form)



Parallel lines have the same slope.

m = 2

Note that the two lines have the different y-intercepts and are not the same line.