Find the slope of the line through two coordinate points.
Right triangles, areas, slopes, distances and common coordinate-geometry formulas.
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For points (1,2) and (5,10), slope = 8 ÷ 4 = 2.
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Between the points (1, 2) and (5, 10), vertical change is 10 − 2 = 8 and horizontal change is 5 − 1 = 4. The slope is 8 ÷ 4 = 2, meaning y rises by two units for each one-unit increase in x.
Special cases: a horizontal line has slope zero; a vertical line has an undefined slope because the run is zero. Swapping the order of both points does not change slope, but mixing their coordinates does.
Find the slope of the line through two coordinate points.
Slope m = (y₂ − y₁) ÷ (x₂ − x₁).
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