What is the slope of the line through (2, -3) and (2, 5)?

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Multiple Choice

What is the slope of the line through (2, -3) and (2, 5)?

Explanation:
When two points have the same x-coordinate, the line is vertical, and there is no horizontal change. The slope is rise over run, so we use m = (y2 − y1)/(x2 − x1). For these points, y2 − y1 = 5 − (−3) = 8, while x2 − x1 = 2 − 2 = 0. Dividing by zero isn’t possible, so the slope is undefined. Vertical lines have undefined slope, while horizontal lines have slope 0.

When two points have the same x-coordinate, the line is vertical, and there is no horizontal change. The slope is rise over run, so we use m = (y2 − y1)/(x2 − x1). For these points, y2 − y1 = 5 − (−3) = 8, while x2 − x1 = 2 − 2 = 0. Dividing by zero isn’t possible, so the slope is undefined. Vertical lines have undefined slope, while horizontal lines have slope 0.

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