A line graph has slope 2; if x increases by 5, by how much does y increase?

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Multiple Choice

A line graph has slope 2; if x increases by 5, by how much does y increase?

Explanation:
The main idea is that slope is the rate of change of y with respect to x. A line with slope 2 means y increases by 2 for every 1 unit increase in x. If x goes up by 5, y increases by 2 × 5 = 10. So y rises by 10. This linear relationship means the increase scales directly with the change in x. For reference, an increase of 5 would correspond to a slope of 1, 15 would correspond to a slope of 3, and 20 would correspond to a slope of 4, none of which apply here.

The main idea is that slope is the rate of change of y with respect to x. A line with slope 2 means y increases by 2 for every 1 unit increase in x. If x goes up by 5, y increases by 2 × 5 = 10. So y rises by 10. This linear relationship means the increase scales directly with the change in x. For reference, an increase of 5 would correspond to a slope of 1, 15 would correspond to a slope of 3, and 20 would correspond to a slope of 4, none of which apply here.

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