anonymous
  • anonymous
Find the coordinates of the other endpoint if the midpoint is M(8, 2) and the other endpoint is P(5, 6). (6.5, 4) (21, 10) (11, -2) Help? Please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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karatechopper
  • karatechopper
Alright, which formula do you think will help you solve this?
anonymous
  • anonymous
I want to say midpoint but that's not right
karatechopper
  • karatechopper
It is right. :)

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karatechopper
  • karatechopper
Okay. So you already know your midpoint. Do you realize that midpoint breaks into two separate parts in order to solve right? We solve for x, and then for y?
anonymous
  • anonymous
Okay, so how do you break it into two parts?
karatechopper
  • karatechopper
Well let's do the x value first shall we? Midpoint formula looks like this: [(x_1 + x_2)/2 , (y_1 + y_2)/2] ----IN TOTAL But let's look at it in parts. To solve for Xm m=midpoint \[\frac{ x1+x2 }{ 2 }\] That's x-value 1 and 2 btw. So I'll show you how to set up and how to find X-value we are looking for. Let's call the point we are looking for, x-value 1. and we know that the Xm is 8. Have you followed what I am saying so far?
anonymous
  • anonymous
Yes
karatechopper
  • karatechopper
Great! So let's plug values in that we know. \[\frac{ x1+5 }{ 2 }= 8\] --------I took the 5 from the x-value from point P and the 8 is the x-value from Midpoint.
karatechopper
  • karatechopper
Following?
anonymous
  • anonymous
Okay, but how did you get 8?
karatechopper
  • karatechopper
Remember, Midpoint formula is used to find the midpoint. We were given the x-value of 8 as your midpoint in the question. We are using Midpoint formula in order to find your other point.
karatechopper
  • karatechopper
\[\frac{ x1+x2 }{ 2 }=Xm\]
anonymous
  • anonymous
Oh right. Sorry I got confused
karatechopper
  • karatechopper
Refer to that if it helps you understand why I picked which points. :)
karatechopper
  • karatechopper
Alright so we can continue?
anonymous
  • anonymous
Yes please
karatechopper
  • karatechopper
Alright, now here's the part where I want to see if you can solve for the x-value by yourself. I set up the equation for you, now please solve for x1. I will check it for you. :) \[\frac{ x1+5 }{ 2 }=8\]
anonymous
  • anonymous
Don't you first multiply everything by 2 to get rid of the fraction?
karatechopper
  • karatechopper
Correct.
anonymous
  • anonymous
so is it x1+10=16? is that correct so far?
karatechopper
  • karatechopper
You don't multiply the 2 by the 5. When you multiple the 2 to get rid of the fraction then it cancels from the first side leaving you with only x1+5 and the other side being 16. Got it?
anonymous
  • anonymous
Oh. okay, yes got it
anonymous
  • anonymous
so x1=11
karatechopper
  • karatechopper
Good! Now can you set up the equation for y-value and try to solve that? It's the same steps in plugging and solving. Try it! :)
anonymous
  • anonymous
So the answer is 11, -2?
karatechopper
  • karatechopper
Perfect!
karatechopper
  • karatechopper
Don't forget parenthesis
anonymous
  • anonymous
Thank you :)
karatechopper
  • karatechopper
You are welcome. :D

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