# Slope

A slope, abbreviated as m, is a line between two points, x1, y1 and x2, y2.

## Slope Formulas

\(\large{ slope = \frac{rise}{run} }\) | |

\(\large{ m = \frac{y}{x} }\) | |

\(\large{ m = \frac{1}{r_h} \; \left( \frac{v}{C} \right)^2 }\) | (Chezy formula) |

\(\large{ S = \left( \frac{v n}{1.49 \; r_h^{0.66} } \right)^2 }\) | (Manning equation) |

### Where:

\(\large{ m }\) = slope

\(\large{ S }\) = channel slope or energy slope line

\(\large{ C }\) = Chezy coefficient

\(\large{ r_h }\) = hydraulic radius

\(\large{ n }\) = Manning's roughness coefficient

\(\large{ y }\) = rise

\(\large{ x }\) = run

\(\large{ v }\) = flow velocity

\(\large{ k }\) = unit conversion factor (\(k = 1.49\) English units ft/sec) (\(k = 1.0\) SI units m/sec)