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

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

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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