Problem:
A rectangle, with sides parallel to the -axis and -axis, has opposite vertices located at and . A line is drawn through points and . Another line is drawn through points and . How many points on the rectangle lie on at least one of the two lines?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
We can graph the two lines.
From this, we see that only the top left corner of the rectangle intersects either line.
Thus, is the correct answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions