Question

Find the slope between :
(0,6
(8,-6)
This is for my hw.​

Answer 1

Exact form: -3/2

Decimal Form: -1.5

Explanation:

Hello there!

We need to find out the slope of the given two coordinates/points, that are:

• (0,6
• (8,-6)

Solution:

We'll need to use the formulae that is used to find out the slope,that is:

`\pink{\star}\boxed{\rm \: Slope = \cfrac{y_2 -y_1}{x_2 - x_1}} \pink{\star}`

According to this question,here:

• 
  `\rm \blue{\star} (y_2 , y_1) = (-6 , 6) \blue{\star}`
• 
  `\rm \blue{\star}(x_2 , x_1)= (8 , 0) \blue{\star}`

So substitute them accordingly:

• [Slope is denoted as m]

`\rm \: m = \cfrac{ - 6 -( 6)}{8 - 0}`

Simplify using PEMDAS rule.

`\rm \: m = \cfrac{ - 12}{8}`

-12/8 could be canceled.

`\rm \: m = \cfrac{ - 6}{4}`

-6/4 could also be canceled.

`\boxed{ \rm \: m = \cfrac{ - 3}{2} \: or \: - \cfrac{3}{2} }`

Or it could be represented as decimal:

`\boxed{ \rm \: m = - 1.5}`

Hence , the slope m will be -3/2 or -1.5

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