WEBVTT

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Here is the problem: Find the slope and equation of the line through (0, 1) and (4, 3).

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Find the slope (rate of change) of the line through two points.

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Label the points.

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Find the change in y (rise).

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Find the change in x (run).

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Divide rise by run.

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Find the y-intercept using the first point.

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Write the equation of the line.

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So the answer is m equals 1 over 2; y equals (1 over 2)x plus 1.

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The slope is 1 over 2: for every 1 unit increase in x, y changes by 1 over 2. The line rises from left to right.

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Second point: 1 over 2 times (4) plus 1 equals 3 (expected 3).