Problem:
A line with slope intersects a line with slope at the point . What is the distance between the -intercepts of these two lines?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The two lines have equations
The -intercepts, obtained by setting in the respective equations, are and . The distance between the points and is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions