Given the points (2, -3) and (5, 1), what is the slope of the line through them?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

Given the points (2, -3) and (5, 1), what is the slope of the line through them?

Explanation:
Slope is the rate of change: how much the y-value increases for each increase of x, found by the rise over run between two points on the line. Take the change in y: 1 − (−3) = 4. Change in x: 5 − 2 = 3. So the slope is 4/3. This positive value means the line goes up as it moves to the right, and for every 3 units to the right it rises 4 units.

Slope is the rate of change: how much the y-value increases for each increase of x, found by the rise over run between two points on the line. Take the change in y: 1 − (−3) = 4. Change in x: 5 − 2 = 3. So the slope is 4/3. This positive value means the line goes up as it moves to the right, and for every 3 units to the right it rises 4 units.

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