Question

which coordinate pair shows the location of the image after ( m(3, -2) ) is reflected in the line ( y = 5 )?

a) ( (3, 3) )
b) ( (3, 12) )
c) ( (7, -2) )
d) ( (8, -2) )

Explanation:

Step1: Find vertical distance to line

Calculate the distance between the point's y-coordinate and $y=5$.
$\text{Distance} = |5 - (-2)| = |7| = 7$

Step2: Find new y-coordinate

Add the distance to the line's y-value.
$y_{\text{new}} = 5 + 7 = 12$

Step3: Keep x-coordinate unchanged

Reflection over horizontal line preserves x-coordinate: $x_{\text{new}} = 3$

Answer:

B) (3, 12)