First let's put both into equivalent forms by solving the second equation for y. 8x - 4y = 12 -4y = -8y + 12 y = 2y -3
We now have two equations: y = mx - 6 y = 2x - 3
Recall that parallel lines have the same slope, and the slope is "m" for an equation in slope-intercept form y=mx+b. The slope in y = 2x - 3 is 2, so for the equation y = mx -6 to be parallel, it must also have a slope of 2. Therefore, m = 2.
