AlgebraEasy–MediumLinear equations in two variables
Algebra practice question
The equation of a line is 3x + 2y = 12. What is the y-coordinate of the point where the line crosses the y-axis?
- A. 2
- B. 4
- C. 6Correct
- D. 12
Answer: C. 6
The line crosses the y-axis where x = 0: 2y = 12, so y = 6. Choice B (4) is the x-intercept (set y = 0), which answers the wrong axis.
Why the other answers are wrong
- A. 2
- 2 is just the coefficient of y in the equation, not the y-intercept; set x = 0 to get 2y = 12, then divide to get y = 6.
- B. 4
- 4 is the x-intercept: you set y = 0 and solved 3x = 12. The y-axis crossing happens where x = 0.
- D. 12
- You substituted x = 0 correctly to get 2y = 12 but stopped there — divide both sides by 2 to get y = 6.
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