Question

Locate the point of the line segment between A (3, -5) and B (13, -15) given that the point is 4/5 of the way from A to B. Show your work.

Answer 1

(11, -13)

Explanation:

A (3, -5) B (13, -15)

AC = |difference of y = |(-15 - (-5)| = 10

CB = | difference of x| = |13 - 3| = 10

ΔAMN ~ ΔACB ---- AA

∴ AM / AC = MN / CB = AN / AB

AM / 10 = MN / 10 = (4/5 AB) / AB = 4/5

AM = MN = 8

coordinate of M: y coordinate = -13 ... same as y coordinate of N

coordinate of N: x coordinate = 3 + 8 = 11

The point 4/5 the way from A to B is (11 , -13)