Question

Point a has coordinates of (7, 2). Point B has coordinates (2, -10). Find the coordinates of the point P that partition line AB in the ratio 5 to 1

Answer 1

Let us say that the coordinates of point P is (x, y). So that:

x = (m/n) (x2-x1) + x1

y = (m/n) (y2-y1) + y1

where, m = 5 and n = 5+1 = 6

x = (5/6) (2 – 7) + 7 = 2.83

y = (5/6) (-10-2) + 2 = -8

So the coordinates of point P is (2.83, -8)