So first write the equation in slope intercept form y=mx+b 5x-2y=7 5x=2y+7 5x-7=2y 5/2x-7/2=y or y=5/2x-7/2 now that you know the slope(5/2x) of the equation all you do change the slope to the negative reciprocal which is -2/5x-------> the answer you're looking for
