Let A = (6,2), and let B be the reflection of A over the line y = 2x + 5 . Find the coordinates of B.

Guest Feb 1, 2022

#1**+1 **

The red line represents the equation \(y=2x+5\).

The bue point represents the point\((6,2)\)

The green line represents the line that is perpendicular to the red line, while crossing the blue point.

The reflection must be a point on the green line that has an x-intercept at \(-6\) (\(6\) units to the left of the intersection, since the blue point is \(6\) units to the right)

This means that the reflection is at \(\color{brown}\boxed {(-6,8)}\)

BuilderBoi Feb 1, 2022