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 = (7-3x)/2m = -3/2 therefore:Y = 2/3 X + cwhen Y = 4 and X = 3, c = 2therefore b = 2/3 a + 2

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