AlgebraVery hardX-intercept of a parallel line
Algebra practice question
In the xy-plane, line p passes through the points (1, 2) and (5, 10). Line q is parallel to p and passes through (0, −3). What is the x-coordinate of the point where line q crosses the x-axis?
Answer: 3/2 or 1.5
Line p has slope 2, so q is y = 2x − 3. Setting y = 0 gives x = 3/2.
Common wrong answers
- If you answered 3
- 3 forgets to divide by the slope.
- If you answered -3
- −3 is the y-intercept of q.
- If you answered -1.5
- −1.5 has the sign wrong.
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