# FIND THE SLOPE FROM TWO POINTS

Find the slope from two points :

When we have two points lie on the straight line, we can find the slope of the line using these two points.

Here (x₁, y₁) and (x₂, y₂) are any two points lie on the line.

Let us see some example problems to understand how to find slope from two points.

## Find the slope from two points - Examples

Example 1 :

Find the slope of the passing through the points (1, 12) and (10, 7).

Solution :

To find the slope of the line passes through two given points, we have to use the formula given below.

x₁, = 1 , y₁ = 12

x₂ = 10 , y₂ = 7

m  =  (7 - 12) / (10 - 1)

=  -5/9

Slope of the given line = -5/9

Example 2 :

Find the slope of the passing through the points (-2, 0) and (0, 4).

Solution :

To find the slope of the line passes through two given points, we have to use the formula given below.

x₁, = -2 , y₁ = 0

x₂ = 0 , y₂ = 4

m  =  (4 - 0) / (0 + 2)

=  4/2

Slope of the given line = 2

Example 3 :

Find the slope of the passing through the points (3, 2) and (8, 4).

Solution :

To find the slope of the line passes through two given points, we have to use the formula given below.

x₁, = 3 , y₁ = 2

x₂ = 8 , y₂ = 4

m  =  (4 - 2) / (8 - 3)

=  6/5

Slope of the given line = 6/5

Example 4 :

Find the slope of the passing through the points (1, -1) and (2, 1).

Solution :

To find the slope of the line passes through two given points, we have to use the formula given below.

x₁, = 1 , y₁ = -1

x₂ = 2 , y₂ = 1

m  =  (1 + 1) / (2 - 1)

=  2/1

Slope of the given line = 2

Example 5 :

Find the slope of the passing through the points (-2, -2) and (-1, 3).

Solution :

To find the slope of the line passes through two given points, we have to use the formula given below.

x₁, = -2 , y₁ = -2

x₂ = -1 , y₂ = 3

m  =  (3 + 2) / (-1 + 2)

=  5/1

Slope of the given line = 5

## Related topics

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