AlgebraEasy–MediumFinding an x-intercept
Algebra practice question
The graph of 4x + 6y = 24 crosses the x-axis at the point (a, 0). What is the value of a?
Answer: 6
Set y = 0: 4a = 24, so a = 6.
Common wrong answers
- If you answered 4
- 4 is y at x = 0 (the y-intercept), not the x-intercept.
- If you answered 24
- 24 is the constant term; divide by the x-coefficient: 24 ÷ 4 = 6.
- If you answered 2/3
- 2/3 is the slope magnitude, not where the graph meets the x-axis.
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