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

Sagot :

Itz5151

Answer:

Exact form: -3/2

Decimal Form: -1.5

Step-by-step 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:

[tex] \pink{\star}\boxed{\rm \: Slope = \cfrac{y_2 -y_1}{x_2 - x_1}} \pink{\star}[/tex]

According to this question,here:

  • [tex]\rm \blue{\star} (y_2 , y_1) = (-6 , 6) \blue{\star}[/tex]
  • [tex]\rm \blue{\star}(x_2 , x_1)= (8 , 0) \blue{\star}[/tex]

So substitute them accordingly:

  • [Slope is denoted as m]

[tex] \rm \: m = \cfrac{ - 6 -( 6)}{8 - 0} [/tex]

Simplify using PEMDAS rule.

[tex] \rm \: m = \cfrac{ - 12}{8} [/tex]

-12/8 could be canceled.

[tex] \rm \: m = \cfrac{ - 6}{4} [/tex]

-6/4 could also be canceled.

[tex] \boxed{ \rm \: m = \cfrac{ - 3}{2} \: or \: - \cfrac{3}{2} }[/tex]

Or it could be represented as decimal:

[tex] \boxed{ \rm \: m = - 1.5}[/tex]

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

[tex] \rule{225pt}{2pt}[/tex]

Hi student, let me help you out! :)

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We are asked to find the slope.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

  • The slope formula is a lifesaver when it comes to finding the slope when we're given two points!

Here's this remarkable formula:

[tex]\bigstar\boxed{\bf{\cfrac{y2-y1}{x2-x1}}}\bigstar[/tex]

Where:

[tex]\dagger[/tex] [tex]\sf{y2\;and\;y1\;are\;y-coordinates;here,\;they\;are\;equal\;to:\;-6\;and\;6}[/tex]

[tex]\dag[/tex] [tex]\sf{x2\;and\;x1\;are\;x-coordinates,\;here,\;they\;are\;equal\;to:8\;and\;0.}[/tex]

Now that we know what each variable (letter) stands for, let's substitute the values:

[tex]\bf{m=\cfrac{-6-6}{8-0}}[/tex]

Let's simplify it:

[tex]\bf{m={\cfrac{-12}{8}}[/tex]

We can reduce the fraction by dividing the denominator, 8, & the numerator, -12, by 4, their common factor:

[tex]\bf{m=\cfrac{-3}{2}}[/tex]

[tex]\ast[/tex] Which is the same as...

[tex]\bf{m={-\cfrac{3}{2}~~}\square\!\!\!\!\!\Large\checkmark[/tex]

Hooray! We found the slope.

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\boxed{\bf{The\;slope\;formula\;is:\cfrac{y2-y1}{x2-x1}}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\bf{Maribel\:Peri\;}[/tex]

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