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(83,10)
upper X left parenthesis Start Fraction 8 over 3 End Fraction comma 10 right parenthesis

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

X(163,113)
upper X left parenthesis 6 comma Start Fraction 11 over 3 End Fraction right parenthesis

X(263,5)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the coordinates of point \( X \) that is located \( \frac{2}{3} \) of the way from point \( A \) to point \( B \), we first need to know the coordinates of points \( A \) and \( B \). Without the specific coordinates provided for \( A \) and \( B \) in the image, I can't compute the exact coordinates for \( X \).

However, assuming the coordinates of points \( A \) and \( B \) are given as \( A(x_1, y_1) \) and \( B(x_2, y_2) \), the formula for finding point \( X \) that is \( \frac{2}{3} \) of the way from \( A \) to \( B \) is:

\[ X = \left( x_1 + \frac{2}{3}(x_2 - x_1), y_1 + \frac{2}{3}(y_2 - y_1) \right) \]

If you can provide the specific coordinates of points \( A \) and \( B \) or describe their locations, I would be happy to help you find the coordinates for point \( X \).