An equation of a line can be expressed in many ways – Slope Intercept, Standard or Point-Slope. Here we will discuss the 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} = x-coordinate of the point

y_{1} = y-coordinate of the point

### Solved Example

**Question:**Find the equation of the line whose slope is 8 and the coordinates of the point are (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 |