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

 Sep 8, 2020
 #1
avatar+28021 
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Several ways to proceed,  here is one way

 

perpindicualr slope = -2

find perpindicular line with the given point

2 = -2(6) + b

b =14

y = -2x+ 14            equating the two line equations yields an intersection point : 3.6, 6.8

    moving the same horizontal distance from this point as from 6,2 TO this point yields   x = 1.2

        "         "      "      vertical        "             "      "     "        "    "     "      "     "      "       "         y = 11.6

 

Here is a graph to visualize this:

https://www.desmos.com/calculator/w0o35tr6mb

 Sep 8, 2020

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