$Slope$

Slope

Slope and angle of a line through two points, the equation y = mx + b and percent grade, with the solution.

The slope shows how much y changes when x increases by one.

m = (y₂ − y₁) / (x₂ − x₁) = tan α

If m > 0 the line rises, if m < 0 it falls. If x₁ = x₂, the line is vertical and has no slope.

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