Question

if one line is Passing through the points (1,2) and (5,10) then the slope gradient will be​

Answer 1

Given :

points :- (1,2) and (5,10)

To find :

• Slope gradient

Formula used :

If two points are given :- (a,b) and (c,d) Then slope gradient (m) is given as :-

$\bf m = \dfrac{d - b}{c - a}$

Solution :

points = (1,2) and (5,10)

let , (1,2) be (a,b) and (5,10) be (c,d)

We know :-

$\implies\sf m = \dfrac{d - b}{c - a}$

Now put :-

d = 10

b = 2

c = 5

a = 1

$\implies\sf m = \dfrac{10 - 2}{5 - 1}$

$\implies\sf m = \dfrac{8}{4}$

$\implies\sf m = \dfrac{ \cancel8 \: \: 2}{ \cancel4 \: \: 1}$

$\implies\sf m = 2$

Answer :

Slope of a line which passes through the point (1,2) and (5,10) = 2

Answer 2

Given ,

The line passing through the points (1,2) and (5,10)

We know that , the slope of the line is given by

$\boxed{ \tt{Slope \: (m) = \frac{ y_{2} - y_{1} }{x_{2} - x_{1}} }}$

Thus ,

m = (10 - 2)/(5 - 1)

m = 8/4

m = 2

Therefore , the slope of the line is 2

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