SOLUTION: reflect (4,-4) over y=3/4x-2

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Question 1053446: reflect (4,-4) over y=3/4x-2
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
any line perpendicular to the line
will have slope=


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The equation of the line through (4,-4)
and perpendicular to the given line is:




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Find the point of intersection of the 2 lines

Multiply both sides by



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Plug this result back into the original equation




The intersection is at ( 8/5, -4/5 )
Make this the midpoint of the reflected points





and






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The reflected point is ( -4/5, 12/5 )
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Here's the plot of the 2 lines:

Looks like my answer can be correct

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