What is the slope of the line through (2,3) and (5,11)?

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What is the slope of the line through (2,3) and (5,11)?

Slope is how steep a line is, found by measuring the change in y divided by the change in x as you move from one point to another. From (2,3) to (5,11), the vertical change is 11 − 3 = 8 and the horizontal change is 5 − 2 = 3, so the slope is 8/3. This positive ratio shows the line rises as you move to the right. If you swapped rise and run you’d get 3/8, which doesn’t match these points. A slope of 2 would require a rise of 6 over 3, and a slope of 8 would require a run of 1, neither of which fits this pair of points.

Slope is how steep a line is, found by measuring the change in y divided by the change in x as you move from one point to another. From (2,3) to (5,11), the vertical change is 11 − 3 = 8 and the horizontal change is 5 − 2 = 3, so the slope is 8/3. This positive ratio shows the line rises as you move to the right. If you swapped rise and run you’d get 3/8, which doesn’t match these points. A slope of 2 would require a rise of 6 over 3, and a slope of 8 would require a run of 1, neither of which fits this pair of points.

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