MathDB
Transformation Problem (10B #17)

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November 17, 2021

Problem Statement

Distinct lines \ell and mm lie in the xyxy-plane. They intersect at the origin. Point P(1,4)P(-1, 4) is reflected about line \ell to point PP', and then PP' is reflected about line mm to point PP''. The equation of line \ell is 5xy=05x - y = 0, and the coordinates of PP'' are (4,1)(4,1). What is the equation of line m?m?
(<spanclass=latexbold>A</span>)5x+2y=0(<spanclass=latexbold>B</span>)3x+2y=0(<spanclass=latexbold>C</span>)x3y=0(<span class='latex-bold'>A</span>)\: 5x+2y=0\qquad(<span class='latex-bold'>B</span>) \: 3x+2y=0\qquad(<span class='latex-bold'>C</span>) \: x-3y=0 (<spanclass=latexbold>D</span>)2x3y=0(<spanclass=latexbold>E</span>)5x3y=0(<span class='latex-bold'>D</span>) \: 2x-3y=0\qquad(<span class='latex-bold'>E</span>) \: 5x-3y=0