Point Slope Form Formula is used to calculate the equation of a line using slope of the line and a point through which the line passes. Slope is the
steepness of the line. The point on the line is in the form of (x,y).

The**Point Slope Form Formula** is,

The

Where,

m is the slope of the line.

x

y

Related Calculators | |

Point Slope Form | Calculate Slope Intercept Form |

Slope Formula Calculator | Basis Point |

Some solved problems on point slope form are given below:

### Solved Examples

**Question 1: **Find the equation of a line which passes through the point (2,6) and has a slope of 7 ?

** Solution: **

Given,

m = 7

(x_{1},y_{1}) = (2,6)

The point slope form formula is,

y - y_{1} = m(x - x_{1})

y - 6 = 7(x - 2)

y - 6 = 7x - 14

7x - y - 8 = 0

The equation of the line is,

7x - y - 8 = 0

**Question 2: **Find the equation of a line which passes through the point (5,9) and has a slope of 2 ?

** Solution: **

Given,

m = 2

(x_{1},y_{1}) = (5,9)

The point slope form formula is,

y - y_{1} = m(x - x_{1})

y - 9 = 2(x - 5)

y - 9 = 2x - 10

2x - y - 1 = 0

The equation of the line is,

2x - y - 1 = 0

Given,

m = 7

(x

The point slope form formula is,

y - y

y - 6 = 7(x - 2)

y - 6 = 7x - 14

7x - y - 8 = 0

The equation of the line is,

7x - y - 8 = 0

Given,

m = 2

(x

The point slope form formula is,

y - y

y - 9 = 2(x - 5)

y - 9 = 2x - 10

2x - y - 1 = 0

The equation of the line is,

2x - y - 1 = 0