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2021 AMC Fall 10B Problem 17

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2021 AMC Fall 10B Problem 17AMC 10 Step by Step

Name: Date: September 13, 2026

Coordinate Geometry · difficulty 4 of 5 · about 6 min · position P16-20

Distinct lines $\ell$ and $m$ lie in the $xy$ -plane. They intersect at the origin. Point $P(-1, 4)$ is reflected about line $\ell$ to point $P'$ , and then $P'$ is reflected about line $m$ to point $P''$ . The equation of line $\ell$ is $5x - y = 0$ , and the coordinates of $P''$ are $(4,1)$ . What is the equation of line $m?$

A)
$5x+2y=0$
B)
$3x+2y=0$
C)
$x-3y=0$
D)
$2x-3y=0$
E)
$5x-3y=0$

2021 AMC Fall 10B Problem 17

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