Question

determine the coordinates of q(6, -4) after a reflection in the line x = 2.

Explanation:

Step1: Find horizontal distance to line

Distance = $|6 - 2| = 4$

Step2: Calculate new x-coordinate

New $x = 2 - 4 = -2$

Step3: Keep y-coordinate unchanged

New $y = -4$

Answer:

$(-2, -4)$