Verified answer

y = mx + c

Arrange the given equation in the same format where 'm' is the slope

6y = -24x + 12 ----> Divide the the whole thing by 6

y = -4x + 2

For any parallel lines the slope is always equal.

So slope of parallel line is -4

What is the slope of any line parallel to the line formed by the equation -24x - 6y = 12

Rewrite in standard format y = -(24x/6) - 12/6

y = -4x - 2

Slope = -4

---------------------------------------------------------

-24x-6y = 12 dividing by -6, 4x +y =-2 so y = -4x -2

gradient of this line = - 4 which is also the gradient of any line parallel to it.

-24x-6y=c