Question

Given the two points (-5,2) and (1,5) find the slope

Answer 1

`\boxed{\boxed{ \sf Slope/m = \tt \cfrac{1}{2}}}`

Explanation:

Given Two points are :

`\tt( - 5,2) \: , \: (1,5)`

To Find:

The Slope

Solution:

We know that the formula of Slope is,

Note: Slope can be denoted as m.

`\boxed{\sf \: m = \tt\cfrac{y_2-y_1}{ x_2-x_1}}`

Here,

`\tt \: y_2 =5`

`\tt \: y_1 = 2`

`\tt \: x_2 = 1`

`\tt \:x_1 = - 5`

So put their values accordingly:

`\implies\sf \: m = \tt \cfrac{ 5 - 2}{1 - ( - 5)}`

Now Simplify it.

Firstly, Simplify The numerator:

• Subtract 5 and 2 :-

`\sf \implies \: m = \tt \cfrac{3}{1 - ( - 5)}`

Now, Simplify The denominator:

• We know that (-) and (-) equals to (+).So,

`\sf \implies{m} = \tt \cfrac{3}{1 + 5}`

• Add 1 and 5:

`\sf \implies{m} = \tt \cfrac{3}{6}`

Use cancellation method and cancel 3 and 6 by 3:

`\sf \implies{m} = \tt \cfrac{ \cancel3 \: {}^(1)} { \cancel{6} \: {}^(2) }`

`\sf \implies{m} =\tt \cfrac{1}{2}`

Hence, the slope of Two given points would be,

`\boxed{\sf \: m = \tt \cfrac{1}{2}}`

`\rule{225pt}{2pt}`

I hope this helps!

Answer 2

Slope=1/2

Explanation:

Slope=(y2-y1) /(x2-x1)

(-5,2)............x1=-5, y1=2

(1,5)..............x2=1, y2=5

Slope=(5-2)/(1-(-5))

Slope=3/(1+5)

Slope=3/6

Slope=1/2