Olympiad Maths Prep

Track / Stage 4 / 66 of 340 #326 of 2000

Problem 326

AMC 12 late, AIME early
Algebra Difficulty 4.6 Find the answer

4. If m>0m>0, and the slope of the line passing through the points (m,3)(m, 3) and (1,m)(1, m) is mm, then m=(m=( ).
(A) 1.
(B) 2\sqrt{2}.
(C)
(D)?.
(E) 5=\sqrt{5}=

This one wants a proof. Work it on paper, read the official solution, then mark yourself honestly — the ladder only means something if the record is true.

Official solution

4C\frac{4}{C}

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.