Algebra-2

First, rearrange the line 3x + 4y = 12 to slope-intercept form.

We get 4y = -3x + 12, and then y = (-3/4)x + 3.

So the slope of this line is -3/4.

For two lines to be perpendicular, the product of their slopes is -1.

Let the slope of the line we're looking for be m. Then (-3/4) * m = -1.