# Slope Formula

To calculate the slope of a line , the slope formula is used. The steepness of incline of the line is defined by the slope formula. Coordinates of the lines is used to calculate the slope of a line. It is the ratio of the change in y-axis to the change in *x*-axis.

The **Slope Formula** is given as,

\[\large m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Where,

* m *is the slope of the line.

*are the co-ordinates of*

**x**_{1}, x_{2 }*x*-axis

*are the co-ordinates of*

**y**_{1}, y_{2 }*y*-axis

### Solved Examples

**Question 1: ** Find the slope of a line whose co-ordinates are (2,7) and (8,1) ?

**Solution:**

Given,

(x_{1}, y_{1}) = (2, 7)

(x_{2}, y_{2}) = (8, 1)

The slope formula is:

m = $\frac{y_{2} – y_{1}}{x_{2} – x_{1}}$

m = $\frac{2 – 7}{8 – 1}$

m = $\frac{-5}{7}$

m = -0.714

More topics in Slope Formula | |

Slope Intercept Form Formula | Point Slope Form Formula |

X Intercept Formula | Y Intercept Formula |

X and Y Intercept Formula | Point Gradient Formula |