Let A = (6,2), and let B be the reflection of A over the line \(y = \frac{1}{2} x + 5\). Find the coordinates of B.

envoy Jul 24, 2020

#1**+1 **

Perpindicular slope to the given line is -2

perpindicular line with the given point 6,2 is y = -2x + 14

Point of intersection of the two lines is 3.6 , 6.8

point equidistant as (6,2) on the other side of the original line = 1.2 , 11.6

Here is a graph to visualize :

https://www.desmos.com/calculator/jc8xknddvt

ElectricPavlov Jul 25, 2020