The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a

y = -3/2x + 7/2gradient = -3/2 gradient of perpendicular = 2/3 y = 2/3x + c sub in given values of x and y to find c y = 2/3x + 2 sub in a and b, so: b = 2/3a + 2