Question

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

Answer 1

Answer:

Slope=1/2

Step-by-step 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

Answer 2

Answer:

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

Step-by-step 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!