
Concept explainers
To find: The equation of the line of reflection.

Answer to Problem 49HP
The equation of the line of reflection is y=−53x+4 .
Explanation of Solution
Given information:
The expression A(4,3) is reflected in a line, its image is A'(−1,0) .
Calculation:
Calculate the midpoint between A and A' . This point will be on the line of reflection.
(4+(−1)2,3+02)=(32,32)
Calculate the slope between A and A' . The slope of the line of the reflection is the opposite reciprocal.
Slope AA'=0−3−1−4=35
Slope of reflection line −53
Use point slope form of all equation to write the equation of the line of reflection. y−y1=m(x−x1)
y−32=−53(x−32)y−32=−53x+52y=−53x+4
Therefore, the equation of the line of reflection is y=−53x+4 .
Chapter 9 Solutions
Geometry, Student Edition
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