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anonymous
 one year ago
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
anonymous
 one year ago
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

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karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Alright, which formula do you think will help you solve this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I want to say midpoint but that's not right

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Okay. 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
 one year ago
Best ResponseYou've already chosen the best response.0Okay, so how do you break it into two parts?

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Well 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 xvalue 1 and 2 btw. So I'll show you how to set up and how to find Xvalue we are looking for. Let's call the point we are looking for, xvalue 1. and we know that the Xm is 8. Have you followed what I am saying so far?

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Great! So let's plug values in that we know. \[\frac{ x1+5 }{ 2 }= 8\] I took the 5 from the xvalue from point P and the 8 is the xvalue from Midpoint.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, but how did you get 8?

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Remember, Midpoint formula is used to find the midpoint. We were given the xvalue of 8 as your midpoint in the question. We are using Midpoint formula in order to find your other point.

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ x1+x2 }{ 2 }=Xm\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh right. Sorry I got confused

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Refer to that if it helps you understand why I picked which points. :)

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Alright so we can continue?

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Alright, now here's the part where I want to see if you can solve for the xvalue 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
 one year ago
Best ResponseYou've already chosen the best response.0Don't you first multiply everything by 2 to get rid of the fraction?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so is it x1+10=16? is that correct so far?

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1You 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
 one year ago
Best ResponseYou've already chosen the best response.0Oh. okay, yes got it

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Good! Now can you set up the equation for yvalue and try to solve that? It's the same steps in plugging and solving. Try it! :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the answer is 11, 2?

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1Don't forget parenthesis

karatechopper
 one year ago
Best ResponseYou've already chosen the best response.1You are welcome. :D
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