# Slope Calculator

Use this free online slope calculator to find the slope of a line along with the equation of the line with the given two sets of X and Y coordinates. A slope describes the steepness of a line. It is also known as gradient. The slope or gradient of a straight line can be calculated when two co-ordinate points (x_{1},y_{1}) and (x_{2},y_{2}) are given. In the below slope calculator, you can find the equation of the straight line with two points.

## Find the Equation of the Straight Line with Two Points

Code to add this calci to your website

#### Formula:

**Slope :**
m = (Y_{1} - Y_{2}) / (X_{1} - X_{2})
**Equation of Straight Line :**
(Y - Y_{1}) / (Y_{2} - Y_{1}) = (X - X_{1}) / (X_{2} - X_{1})
**Where,**
m = Slope
X_{1} , X_{2} = X Axis Points
Y_{1}, Y_{2} = Y Axis Points
### Example

Find the Equation of the Straight Line with Two Points (x_{1} , y_{1}) as (1,2) and (x_{2} , y_{2}) as (3,4).

#### Step 1:

Apply the values in the formula of slope.

(y_{1} - y_{2}) / (x_{1} - x_{2}) = ( 2-4 / 1-3). Simplify the values (-2) / (-2) and you will get the slope as 1.

#### Step 2:

To find the equation of straight line apply the co-ordinate values in the formula

(y – y_{1}) / (y_{2} – y_{1} )= (x – x_{1}) / (x_{2} – x_{1}).

**Equation** = (y - 2) / (4 - 2) = (x - 1) / (3 - 1). Simplify the equation ( y - 2) / 2 = (x - 1) / 2.

#### Step 3:

Cross multiply the values, 2 (y - 2) = 2 (x - 1)

#### Step 4:

Simplifying, 2y - 4 = 2x - 2

#### Step 5:

Bring all the unknown values to the left and whole numbers to the right.

It will become as -2x + 2y = 2 which is the equation of the straight line.