Question

A point is translated on the coordinate plane from (5, -3) to (5,7). Journey write the function g(y)= y + k to describe the translation. What is the value of k?(1 point)
-10
0
10
4

Answer 1

To describe the translation of the point \((5, -3)\) to \((5, 7)\) using the function \(g(y) = y + k\), we need to determine the value of \(k\) that will take \(-3\) to \(7\).

Starting with the function:
\[
g(y) = y + k
\]
we plug in the initial \(y\) value of \(-3\):
\[
g(-3) = -3 + k
\]
We want \(g(-3)\) to equal \(7\):
\[
-3 + k = 7
\]
Now, we solve for \(k\):
\[
k = 7 + 3
\]
\[
k = 10
\]

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

So, the answer is \(10\).