2
Solve the second equation for y.
... 8x -12 = 4y . . . . add 4y -12
... 2x -3 = y . . . . . . divide by the coefficient of y
The coefficient of x is 2, so a parallel line will have an x-coefficient of 2. The line ...
... y = 2x -6 . . . . . . . . m = 2
will be parallel to the given line, so will not intersect it.