AlgebraVery hardConstant so that a line passes through a given point
Algebra practice question
The line with equation 3x + ky = 24 passes through the point (4, 3) in the xy-plane. What is the y-coordinate of the point where the line crosses the y-axis?
Answer: 6
Substitute (4, 3): 12 + 3k = 24, so k = 4. The line is 3x + 4y = 24; at x = 0, 4y = 24 and y = 6.
Common wrong answers
- If you answered 4
- 4 is k, not the y-intercept.
- If you answered 8
- 8 is the x-intercept (24 ÷ 3).
- If you answered 24
- 24 is the constant, not the intercept.
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