Here is the ultimate slope equation:

Explanation:

- Slope = The amount of tilt of a line
- m = The symbol for slope
- (y
_{2}- y_{1}) / (x_{2}- x_{1}) = 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.

The derivative of the slope-intercept form of a line is the slope of that line:

D_{x}(mx + b) = m