Question

6The Points P and Q have coordinates (-1,6) and (9,0) respectively . The line L is perpendicular to PQ and passes through the mid-point of PQ. Find an Equation for L, giving your answer in the form ax+by+c=0, where a,b and c are integers. *

Answer 1

Answer:

For the line passing through A and B: m = (y2-y1)/(x2-x1) = (-6-4)/(7-3) = -5/2

For the perpendicular line: m = -1/(-5/2) = 2/5

y - y1 = m*(x - x1) >> y - 4 = (2/5)*(x - 3) >> 5y - 20 = 2x - 6 >> 2x - 5y + 14 = 0