# Equation of a Line Formula

An equation of a line can be expressed in many ways – Slope Intercept, Standard or Point-Slope. Here we will discuss Point-Slope Equation of a Line.

#### The Point Slope Equation of a Line Formula

\[\LARGE y-y_{1}=m(x-x_{1})\]

Where,

m is the slope of the line.

x_{1} is the co-ordinate of x-axis.

y_{1} is the co-ordinate of y-axis.

### Solved Examples

**Question 1:**Find the equation of the line whose slope is 8 and one of the co-ordinate is (3,5) ?

**Solution:**

Given,m = 8

(x_{1},y_{1}) = (3,5)

The formula for the equation of a line is,

y – y_{1} = m (x – x_{1})

y – 5 = 8 (x – 3)

y – 5 = 8x – 24

8x – y = 19

8x – y – 19 = 0

More topics in Equation of a Line Formula | |

Perpendicular Line Formula | Parallel Line Formula |

Point of Intersection Formula |