Two points (2,5) and (5,9) lie on a line. What is the slope?

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Multiple Choice

Two points (2,5) and (5,9) lie on a line. What is the slope?

Explanation:
The slope is the ratio of how much the y-value changes to how much the x-value changes between two points on a line. From (2, 5) to (5, 9), the vertical change is 9 − 5 = 4 and the horizontal change is 5 − 2 = 3, so the slope is 4/3. A positive slope means the line rises as x increases, and reversing the points gives (−4)/(−3) = 4/3, the same result. Therefore, the slope is 4/3.

The slope is the ratio of how much the y-value changes to how much the x-value changes between two points on a line. From (2, 5) to (5, 9), the vertical change is 9 − 5 = 4 and the horizontal change is 5 − 2 = 3, so the slope is 4/3. A positive slope means the line rises as x increases, and reversing the points gives (−4)/(−3) = 4/3, the same result. Therefore, the slope is 4/3.

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