HOW TO FIND THE SLOPE OF THE LINE PASSING THROUGH TWO POINTS

Let us consider a straight line pass which is passing through the two points (x₁, y₁) and (x₂, y₂) as shown below.

Example 1 :

Find the slope of the straight line passing through the points (3, - 2) and (-1, 4).

Solution :

Formula to find the slope of the line passing through two points is 

 m  =  (y₂ - y₁)/(x₂ - x₁)

Substitute (x₁, y₁)  =  (3, -2) and (x₂, y₂)  =  (-1, 4).

m  =  [4 - (-2)]/(-1 - 3)

=  (4 + 2)/(-4)

=  6/(-4)

=  -3/2

So, the slope of the given line is -3/2.

Example 2 :

Find the slope of the straight line passing through the points (5, - 2) and (4, -1).

Solution :

Formula to find the slope of the line passing through two points is

 m  =  (y₂ - y₁)/(x₂ - x₁)

Substitute (x₁, y₁)  =  (5, -2) and (x₂, y₂)  =  (4, -1).

m  =  [-1 - (-2)]/(4 - 5)

=  (-1 + 2)/(-1)

=  1/(-1)

=  -1

So, the slope of the given line is -1.

Example 3 :

Find the slope of the straight line passing through the points (-2, - 1) and (4, 0).

Solution :

Formula to find the slope of the line passing through two points is

 m  =  (y₂ - y₁)/(x₂ - x₁)

Substitute (x₁, y₁)  =  (-2, -1) and (x₂, y₂)  =  (4, 0).

m  =  (0 - 1)/[4 - (-2)]

=  -1/(4 + 2)

=  -1/6

So, the slope of the given line is -1/6.

Example 4 :

Find the slope of the straight line passing through the points (1, 2) and (-4, 5).

Solution :

Formula to find the slope of the line passing through two points is

 m  =  (y₂ - y₁)/(x₂ - x₁)

Substitute (x₁, y₁)  =  (1, 2) and (x₂, y₂)  =  (-4, 5).

m  =  (5 - 2)/(-4 - 1)

=  3/(-5)

=  -3/5

So, the slope of the given line is -3/5.

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