# Point Slope Form Calculator

'Cuemath's Point-Slope Form Calculator' is an online tool that helps to calculate the equation of a line from the given coordinate points.

## What is the Point-Slope Form Calculator?

Cuemath's online Point-Slope Form calculator helps you to calculate the equation of a line within a few seconds.

Note: Please enter upto two digits only.

## How to Use Point-Slope Form Calculator?

Please follow the below steps to find the equation of a line:

**Step1:**Enter the coordinate of x_{1}and y_{1}and slope in the given input box i.e.,( x_{1}, y_{1})**Step 2:**Click on the**"Calculate"**button to find the equation of a line.**Step 3:**Click on the**"Reset"**button to clear the fields and find the equation of a line for different coordinates values.

## How to Find Point-Slope Form?

The formula of point-slope form is used to find the equation of a line. This formula is used only when we know the slope of the line and a point on the line.

The equation of a line whose slope is m and which passes through a point (x_{1}, y_{1}) is found using the point-slope form:

**The equation of the point-slope form is: y − y _{1} = m(x − x_{1})**, where x

_{1}and y

_{1}are coordinates of a known point, 'm' is the slope of the line, x and y are kept as variables

**Solved Example:**

Find the equation of a line with slope 3 and a point (2,3)?

**Solution:**

The equation of the point-slope form is: y − y_{1} = m(x − x_{1})

⇒y − 3 = 3 (x − 2)

⇒y − 3 = 3x - 6

⇒3x - y -3 = 0

Therefore, the equation of line is 3x - y -3 = 0

Similarly, you can try the calculator to find the equation of a line if

1) Slope m = -4, coordinates (5,8)

2) Slope m = 8, coordinates (-7,4)