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

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Study for the 8th Grade Mathematics Test. Prepare with multiple choice questions, each with hints and explanations. Get ready for your exam!

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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