What is the slope of the line through (0,-1) and (2,3)?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

What is the slope of the line through (0,-1) and (2,3)?

Explanation:
Slope is a measure of how steep a line is, found by comparing vertical change to horizontal change between two points. To get it, take the difference in y values and divide by the difference in x values. From (0, -1) to (2, 3), the vertical change is 3 - (-1) = 4, and the horizontal change is 2 - 0 = 2. So the slope is 4 / 2 = 2. This means the line rises 2 units for every 1 unit it moves to the right. Other possible values would imply different rises for the same run, which don’t match these coordinates.

Slope is a measure of how steep a line is, found by comparing vertical change to horizontal change between two points. To get it, take the difference in y values and divide by the difference in x values.

From (0, -1) to (2, 3), the vertical change is 3 - (-1) = 4, and the horizontal change is 2 - 0 = 2. So the slope is 4 / 2 = 2. This means the line rises 2 units for every 1 unit it moves to the right.

Other possible values would imply different rises for the same run, which don’t match these coordinates.

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