THE ULTIMATE SLOPE EQUATION

Here is the ultimate slope equation:

Explanation:

• Slope = The amount of tilt of a line
• m = The symbol for slope
• (y₂ - y₁) / (x₂ - x₁) = Calculation of the slope from two points
• rise / run = Empirical definition of slope
• % grade is slope, when the percentage is converted to a decimal
• Δy / Δx = The change in y, divided by the change in x
• ∂y / ∂x = A differential is a slope
• D_x = The derivative of a function is its instantaneous slope
• The tangent of the angle of the line is its slope.
• sin θ / cos θ = The trigonometric version of the rise divided by the run.