If a line has slope 1, then for every 1 unit increase in x, y increases by 1.

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Multiple Choice

If a line has slope 1, then for every 1 unit increase in x, y increases by 1.

Slope measures how y changes when x changes: m = Δy/Δx. If the slope is 1, then Δy/Δx = 1, so Δy = Δx. Therefore, for a 1-unit increase in x (Δx = 1), y must increase by Δy = 1. This holds for every point on the line, so the statement is true. The other options conflict with the fixed rate of change implied by a slope of 1.

Slope measures how y changes when x changes: m = Δy/Δx. If the slope is 1, then Δy/Δx = 1, so Δy = Δx. Therefore, for a 1-unit increase in x (Δx = 1), y must increase by Δy = 1. This holds for every point on the line, so the statement is true. The other options conflict with the fixed rate of change implied by a slope of 1.

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