Question

Use the image to answer the question.

Segment upper A upper B is graphed on a coordinate plane. The x-axis ranges from negative 1 to 4 in increments of 1. The y-axis ranges from negative 1 to 8 in increments of 1.

Find the coordinates of point H
on AB¯¯¯¯¯¯¯¯
such that the ratio of AH
to HB
is 1:4.

(1 point)
Responses

(−1,−2)
left parenthesis negative 1 comma negative 2 right parenthesis

(0.6,1.2)
left parenthesis 0.6 comma 1.2 right parenthesis

(0.75,1.5)
left parenthesis zero point seven five comma 1 point five right parenthesis

(0.2,0.2)
left parenthesis 0.2 comma 0.2 right parenthesis

A(0,0) B(3,6)

Answer 1

H is 1/5 of the way from A to B. Vector AB = (3,6), so H = A + (1/5)AB = (0 + 3/5, 0 + 6/5) = (0.6, 1.2).