AlgebraHardArea of the triangle a line makes with the axes
Algebra practice question
In the xy-plane, the line 3x + 4y = 24 forms a triangle with the x-axis and the y-axis. What is the area of that triangle?
Answer: 24
The intercepts are 8 and 6, so the area is (1/2)(8)(6) = 24.
Common wrong answers
- If you answered 12
- 12 halves the correct area.
- If you answered 14
- 14 adds the intercepts.
- If you answered 48
- 48 forgets the 1/2.
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