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
if it is located 23
of the way from A
to B
?

(1 point)
Responses

X(4,83)

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

X(83,10)

upper X left parenthesis Start Fraction 8 over 3 End Fraction comma 10 right parenthesis

X(263,5)

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

X(163,113)

Answer 1

Vector from A to B = (7-2, 5-1) = (5, 4). Move 2/3 of that: (2/3)*(5,4) = (10/3, 8/3). Add to A: (2 + 10/3, 1 + 8/3) = (16/3, 11/3).

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