AlgebraVery hardx-intercept of a parallel line through a point
Algebra practice question
In the xy-plane, line ℓ has the equation 3x − 4y = 24. Line m is parallel to ℓ and passes through (0, 3). What is the x-intercept of line m?
Answer: -4
ℓ has slope 3/4, so m is y = (3/4)x + 3. Setting y = 0 gives x = −4.
Common wrong answers
- If you answered 4
- 4 has the sign wrong.
- If you answered 8
- 8 is the x-intercept of ℓ.
- If you answered -3
- −3 uses slope 1.
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