Question

Find The slope between this two points:
(5,9),(-2,8)
​

Answer 1

Answer:

$\boxed{\tt \: SLOPE= \cfrac{1}{7}}$

OR

$\boxed{ \tt\: SLOPE = 0.142}$

Step-by-step explanation:

Given:

Two points, i.e.

$\tt \: (5,9),(-2,8)$

To Find:

The slope between the two given points.

Solution:

To Find out the slope between two points,we will use the formula of Slope, i.e. :

$\boxed{\rm \: m = \cfrac{y_ 2 - y_ 1}{x_2 - x_ 1}}$

According to the Question,

$\rightarrow \: \rm \: y_2 = 8$

$\rightarrow \: \rm \: y_1 = 9$

$\rightarrow \: \rm \: x_2 = - 2$

$\rightarrow \: \rm \: x_1 = 5$

Now Substitute the values on the formulae of slope and then Simplify using PEMDAS rule :

$\rm \: \longrightarrow Slope = \cfrac{8 - 9}{ - 2 - 5}$

$\rm \: \longrightarrow Slope = \cfrac{ - 1}{ - 2 - 5}$

$\rm \: \longrightarrow Slope = \cfrac{ \cancel- 1}{ \cancel- 7}$

$\rm \: \longrightarrow Slope = \cfrac{1}{7}$

In Decimal,

$\rm \: \longrightarrow Slope =0.142$

Hence, the slope between the two given points would be $1/7$ or $0.142$.

$\rule{225pt}{2pt}$

I hope this helps!

Have a nice day! :)

Note:

SLOPE is usually denoted as $m.$

Answer 2

Answer:

The slope is 1/7.

Step-by-step explanation:

Use the slope formula.

Slope:

$\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}$

• y2=8
• y1=9
• x2=(-2)
• x1=5

Rewrite the problem down.

$\sf{\dfrac{8-9}{(-2)-5}=\dfrac{-1}{-7}=\boxed{\sf{\dfrac{1}{7}}}$

Dividing is another option.

1/7=0.142.

• Therefore, the slope is 1/7, which is our answer.

I hope this helps! Let me know if you have any questions.