Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1981 AHSME Problems/Problem 10

Revision as of 23:29, 23 March 2021 by Mathegg (talk | contribs) (Created page with "If <math>(p, q)</math> is a point on line <math>L</math>, then by symmetry <math>(q, p)</math> must be a point on <math>K</math>. Therefore, the points on <math>K</math> satis...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

If $(p, q)$ is a point on line $L$, then by symmetry $(q, p)$ must be a point on $K$. Therefore, the points on $K$ satisfy $x=ay+b$.Solving for $y$ yields $y = \dfrac xa-\dfrac ba$. $\Longrightarrow \boxed{E}$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1981_AHSME_Problems/Problem_10&oldid=150063"