AlgebraVery hardLine through the x-intercept of another line
Algebra practice question
In the xy-plane, line m passes through the point (4, 5) and through the x-intercept of the line 4x − 9 = 0. What is the slope of line m?
Answer: 20/7
The x-intercept of 4x − 9 = 0 is (9/4, 0); the slope from there to (4, 5) is 5/(4 − 9/4) = 5/(7/4) = 20/7.
Common wrong answers
- If you answered 5/4
- 5/4 uses the origin as the second point.
- If you answered 7/20
- 7/20 inverts the slope.
- If you answered -20/7
- −20/7 has the sign wrong.
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