A point is translated on the coordinate plane from (5, -3) to (5,7). Journey needs to write the function g(y)= y + k to describe the translation. What is the value of k?(1 point)

Question

Responses

-10
-10

0
0

4
4

10

Answer 1

To determine the value of \( k \) in the function \( g(y) = y + k \) that describes the translation from the point \( (5, -3) \) to \( (5, 7) \), we need to analyze the change in the \( y \)-coordinate.

The original \( y \)-coordinate is \( -3 \). The new \( y \)-coordinate after the translation is \( 7 \).

To find the translation, we subtract the original \( y \)-coordinate from the new \( y \)-coordinate:

\[ k = 7 - (-3) = 7 + 3 = 10 \]

Thus, the value of \( k \) is \( 10 \).

The correct answer is:

10