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# Analytic geometry and reflections please explain :)

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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.

Jul 24, 2020

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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

Jul 25, 2020