What is the slope of the line through points (2, 3) and (2, 7)?

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Multiple Choice

What is the slope of the line through points (2, 3) and (2, 7)?

Explanation:
The slope measures how much a line rises for each step it runs to the right. It’s found with m = (change in y) / (change in x). For the points (2, 3) and (2, 7), the x-values are the same, so there’s no horizontal change when you move from one point to the other. The calculation would be (7 − 3) / (2 − 2) = 4 / 0, which is division by zero. That means this line is vertical, and a vertical line has an undefined slope. (Horizontal lines, by contrast, have slope 0 because there’s no change in y.)

The slope measures how much a line rises for each step it runs to the right. It’s found with m = (change in y) / (change in x). For the points (2, 3) and (2, 7), the x-values are the same, so there’s no horizontal change when you move from one point to the other. The calculation would be (7 − 3) / (2 − 2) = 4 / 0, which is division by zero. That means this line is vertical, and a vertical line has an undefined slope. (Horizontal lines, by contrast, have slope 0 because there’s no change in y.)

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