2018 AMC 12B Problem 3
Attempt Problem 3 of the 2018 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2018 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
A line with slope intersects a line with slope at the point What is the distance between the -intercepts of these two lines?
Answer: B
Small hint:
Write each line in point-slope form through
Big hint:
Set in each equation to find its -intercept
Solution:
The line of slope is setting gives The line of slope is setting gives
The distance between the intercepts is
Thus, the correct answer is B.
Problem 3 in other years
- 1950 AMC 12
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