AlgebraMediumLine sharing a y-intercept with a given line
Algebra practice question
In the xy-plane, line ℓ has the same y-intercept as the graph of 3x + 2y = 10 and a slope of 2. Which of the following is an equation of line ℓ?
- A. y = 2x + 5Correct
- B. y = 2x + 10
- C. y = −(3/2)x + 5
- D. y = 2x − 5
Answer: A. y = 2x + 5
The y-intercept of 3x + 2y = 10 is 10/2 = 5. With slope 2: y = 2x + 5.
Why the other answers are wrong
- B. y = 2x + 10
- 10 is the constant in the equation, not the y-intercept.
- C. y = −(3/2)x + 5
- That is the given line itself.
- D. y = 2x − 5
- −5 has the wrong sign.
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