Question

Point upper A has coordinates left parenthesis 2 comma 1 right parenthesis. Point upper B has coordinates left parenthesis 7 comma 5 right parenthesis.

What are the coordinates of point X
𝑋
if it is located 23
2
3
of the way from A
𝐴
to B
𝐵
?

(1 point)
Responses

X(263,5)
𝑋
(
26
3
,
5
)

upper X left parenthesis Start Fraction 26 over 3 End Fraction comma 5 right parenthesis

X(163,113)
𝑋
(
16
3
,
11
3
)

upper X left parenthesis Start Fraction 16 over 3 end fraction comma Start Fraction 11 over 3 End Fraction right parenthesis

X(4,83)
𝑋
(
4
,
8
3
)

upper X left parenthesis 4 comma Start Fraction 8 over 3 End Fraction right parenthesis

X(83,10)

Answer 1

Vector AB = (7-2, 5-1) = (5, 4).
Two-thirds of that is (2/3)*(5,4) = (10/3, 8/3).
Add to A(2,1): X = (2 + 10/3, 1 + 8/3) = (16/3, 11/3).

So X(16/3, 11/3).