What is the slope of any line parallel to the line 2x - 3y = 7?
Correct answer: C. ⅔
- A. -3
- B. -⅔
- C. ⅔
- D. 2
Explanation
To find the slope of any line parallel to 2x - 3y = 7, rearrange the equation to y = mx + b. By solving for 'y', -3y = -2x + 7 becomes y = (2/3)x - 7/3. The slope 'm' is 2/3. Since parallel lines have the same slope, the correct answer is ⅔. Options -3, -⅔, and 2 are incorrect as they did not correctly determine the slope or misunderstood the process of finding it from the equation.
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