SOLUTION: Given that (-1,4) is the reflected image of (5,2), find an equation for the line of reflection. When I solved this problem, I know I didn't do it right because my line was the p

Question 147269: Given that (-1,4) is the reflected image of (5,2), find an equation for the line of reflection.
When I solved this problem, I know I didn't do it right because my line was the perpendicular bisector of those two points. (if they made a segment).
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
That should be right. Your line should be a perpendicular bisector to the segment formed by the two points.
m = (4 - 2) / (-1 - 5) = -1 / 3
Perpendicular slope = 3
w/ point ( (-1 + 5)/2 , (4 + 2)/2 ) or ( 2 , 3 )
y - y1 = m(x - x1)
y - 3 = 3(x - 2)
y - 3 = 3x - 6
y = 3x - 3
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