Since we are given the equation of the line in which our line of interest is perpendicular with, we can obtain the slope of our line which is basically the negative reciprocal of the slope of the given line.
m1 = 7/12
therefore
m2 = -12/7
the form of the equation is
(y - y1) = m2 (x - x1)
substituting values
(y + 4) = (-12/7) (x -12)
y = (-12/7)x + 116/7
