Question

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A (-5, 12) B (11, 0) 1 :3

Answer 1

(7, 3)

Explanation:

Using the midpoint formula

M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}

X = ax1+bx2/a+b

X = -5(1)+3(11)/1+3

X = -5+33/4

X = 28/4

X = 7

Y = ay1+by2/a+b

Y = 1(12)+3(0)/1+3

Y = 12/4

Y = 3

Hence the coordinate of P is at (7, 3)