AlgebraMediumLine with the same x-intercept as a given line
Algebra practice question
In the xy-plane, which of the following equations has a graph with the same x-intercept as the graph of 2x − 3y = 8?
- A. 2x + 3y = 8Correct
- B. 2x − 3y = 16
- C. 3x − 2y = 8
- D. x − 3y = 8
Answer: A. 2x + 3y = 8
The x-intercept of 2x − 3y = 8 is 8/2 = 4 (set y = 0). 2x + 3y = 8 also gives x = 4 when y = 0.
Why the other answers are wrong
- B. 2x − 3y = 16
- 2x = 16 gives x = 8.
- C. 3x − 2y = 8
- 3x = 8 gives x = 8/3.
- D. x − 3y = 8
- x = 8.
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