AlgebraMediumDistance between a line's intercepts
Algebra practice question
In the xy-plane, the line x/3 + y/4 = 1 crosses the x-axis and the y-axis at two points. What is the distance between those two points?
Answer: 5
The intercepts are (3, 0) and (0, 4). The distance is √(3² + 4²) = 5.
Common wrong answers
- If you answered 1
- 1 is the difference of the intercepts.
- If you answered 7
- 7 is 3 + 4, the sum of the intercepts.
- If you answered 12
- 12 is the product.
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