Question

Point upper A has coordinates left parenthesis 0 comma 0 right parenthesis. Point upper B has coordinates left parenthesis 3 comma 6 right parenthesis.

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

(1 point)
Responses

(−1,−2)
(
−
1
,
−
2
)

left parenthesis negative 1 comma negative 2 right parenthesis

(0.2,0.2)
(
0.2
,
0.2
)

left parenthesis 0.2 comma 0.2 right parenthesis

(0.6,1.2)
(
0.6
,
1.2
)

left parenthesis 0.6 comma 1.2 right parenthesis

(0.75,1.5)

Answer 1

H divides AB in ratio 1:4, so H is 1/5 of the way from A to B.

x = 0 + (1/5)(3) = 0.6, y = 0 + (1/5)(6) = 1.2.

So H = (0.6, 1.2).