Question

Find the slope of the line joining the points(1,2) and (3,4) is

Answer 1

Step-by-step explanation:

$m = \frac{y2 - y1}{x2 - x1} \\ \\ m = \frac{4 - 2}{3 - 1} \\ \\ m = \frac{2}{2} = 1$

Answer 2

The slope of the line joining the points(1,2) and (3,4) is 1

Given :

The line joining the points (1,2) and (3,4)

To find :

The slope of the line

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

Here the given line is joining the points (1,2) and (3,4)

Step 2 of 2 :

Find the slope of the line

Hence the required slope of the line

$\displaystyle \sf{ = \frac{4 - 2}{3 - 1} }$

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

$\displaystyle \sf{ = 1 }$

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