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 2 to 8 in increments of 1. The y-axis ranges from negative 2 to 8 in increments of 1.

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

(1 point)
Responses

X(163,113)
upper X left parenthesis Start Fraction 16 over 3 end fraction comma Start Fraction 11 over 3 End Fraction right parenthesis

X(263,5)
upper X left parenthesis Start Fraction 26 over 3 End Fraction comma 5 right parenthesis

X(4,83)
upper X left parenthesis 4 comma Start Fraction 8 over 3 End Fraction right parenthesis

X(83,10)

Answer 1

A = (2,1) and B = (7,5).
X = A + (2/3)(B−A) = (2 + (2/3)(5), 1 + (2/3)(4)) = (16/3, 11/3).

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