Given the line 12x - 2y = 24
At first, make the line on the form of slope intercept form
So,
12x - 2y = 24
-2y = -12x + 24
Divide all terms by -2
y = 6x - 12
So, it will be similar to the general form y = mx + b
Where m is the slope and b is y-intercept
so, the slope = m = 6
So, the slope of the line perpendicular to the given line will be -1/6
Because the product of the slopes of the perpendicular line = -1
So, the answer is