AlgebraHardCoordinates of intercepts from a standard-form line
Algebra practice question
In the xy-plane, the line 6x + 4y = 9 has x-intercept a and y-intercept b. What is the value of a · b?
Answer: 27/8 or 3.375
a = 9/6 = 3/2 and b = 9/4, so ab = 27/8.
Common wrong answers
- If you answered 15/4
- 15/4 adds the intercepts.
- If you answered 9/2
- 9/2 halves 9 rather than multiplying the two intercepts.
- If you answered 2/3
- 2/3 divides the intercepts.
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