+241 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.
+37153 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
