**How to find the slope of the line passing through two points :**

Actually we follow four methods to find the slope of the line

Slope with two points lies on the line

m = (y_{2} - y_{1})/(x_{2}-x_{1})

Here we are going to see how to find the slope of the line passing through two points.

**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

m = (y_{2} - y_{1})/(x_{2}-x_{1})

(x_{1}, y_{1}) ==> (3, -2) and (x_{2}, y_{2}) ==> (-1, 4)

m = (4 - (-2)) / (-1 - 3)

= (4 + 2)/(-4)

= 6/(-4)

= -3/2

Hence the required slope of the 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

m = (y_{2} - y_{1})/(x_{2}-x_{1})

(x_{1}, y_{1}) ==> (5, -2) and (x_{2}, y_{2}) ==> (4, -1)

m = (-1 - (-2)) / (4 - 5)

= (-1 + 2)/(-1)

= 1/(-1)

= -1

Hence the required slope of the 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

m = (y_{2} - y_{1})/(x_{2}-x_{1})

(x_{1}, y_{1}) ==> (-2, -1) and (x_{2}, y_{2}) ==> (4, 0)

m = (0 - 1) / (4 - (-2))

= -1 /(4 + 2)

= -1/6

Hence the required slope of the 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

m = (y_{2} - y_{1})/(x_{2}-x_{1})

(x_{1}, y_{1}) ==> (1, 2) and (x_{2}, y_{2}) ==> (-4, 5)

m = (5 - 2) / (-4 - 1)

= 3 /(-5)

= -3/5

Hence the required slope of the line is -3/5.

After having gone through the stuff given on "How to find the slope of the line passing through two points", we hope that the students would have understood how to solve problems using unit rates.

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