Question

Given points A(1,1)
and B(7,−2)
, determine the coordinates of point M
on AB¯¯¯¯¯¯¯¯
such that the ratio of AM
to MB
is 1:5. Write your responses as decimal values (if necessary) to the tenths place.(1 point)

Answer 1

AM:MB = 1:5 so M is 1/6 of the way from A to B.

Vector B−A = (7−1, −2−1) = (6, −3).
M = A + (1/6)(B−A) = (1,1) + (1,−0.5) = (2.0, 0.5).