Question

The slope of line passing through the points (2,3) and (5,1) is ….​

Answer 1

Step-by-step explanation:

slope=∆y/∆x=(1-3)/(2-5)=-2/-3=2/3

Answer 2

The slope of line passing through the points (2,3) and (5,1) is - 2/3

Given :

The points (2,3) and (5,1)

To find :

The slope of line passing through the points (2,3) and (5,1)

Concept :

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$

The slope of the line AB is

$\displaystyle \sf{ = \frac{y_2 - y_1}{x_2 - x_1} }$

Solution :

Step 1 of 2 :

Write down the given points

The points are (2,3) and (5,1)

Step 2 of 2 :

Find slope of the line

Hence the required slope of the line

$\displaystyle \sf{ = \frac{1 - 3}{5 - 2} }$

$\displaystyle \sf{ = \frac{ - 2}{3} }$

$\displaystyle \sf{ = - \frac{2}{3} }$

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