+0  
 
0
111
1
avatar

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

 Feb 1, 2022
 #1
avatar+2437 
0

 

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 \(\color{brown}\boxed {(-6,8)}\)

 Feb 1, 2022

24 Online Users

avatar