Question

graph the image of f(7, 8) after a reflection over the line y = 5.

Explanation:

Step1: Calculate y - distance to line

The distance between the y - coordinate of the point $F(7,8)$ and the line $y = 5$ is $d=8 - 5=3$.

Step2: Find new y - coordinate

Since we are reflecting over the line $y = 5$, the x - coordinate remains the same ($x = 7$), and the new y - coordinate is $y=5-(8 - 5)=2$.

Answer:

The image of the point $F(7,8)$ after reflection over the line $y = 5$ is $F'(7,2)$.