So you are given y-4 = 5/4(x+3). This is from a form called point-slope form, written as y-y1 = m(x-x1). This gives us the slope. From looking at our original equation we see m = 5/4. To find it perpendicular, we do the negative reciprocal meaning we flip the fraction and make it a negative. So we get -4/5. So our slope is -4/5. Now we can use our y = mx + b form and substitute m and our order pair. So we get
