2023 AMC 8 Problem 7
Attempt Problem 7 of the 2023 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2023 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
7.
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: B
Small hint:
Find the equations of the two lines
Big hint:
The rectangle has and
Video solution:
Click to load, then click again to play
Written solution:
We can graph the two lines.
From this, we see that only the top left corner of the rectangle intersects either line.
Thus, B is the correct answer.
Problem 7 in other years
- 1985 AMC 8
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