SOLUTION: M(0,4) and N(-3, -2) a) MN=? B) The midpoint of segment NM is (?, ?) c) If N is the midpoint of segment MP, then P has coordinates (?, ?) d) the slope of live MN is? thank

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Question 978965: M(0,4) and N(-3, -2)
a) MN=?
B) The midpoint of segment NM is (?, ?)
c) If N is the midpoint of segment MP, then P has coordinates (?, ?)
d) the slope of live MN is?
thank you so much for helping me!
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
The slope of MN is:

slope =
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The length of MN is:

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MN/2 =
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x-coordinate of midpoint MN is:

y-coordinate of midpoint MN is:

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The midpoint of MN is at:
( -3/2, 1 )
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c) If N is the midpoint of segment MP, then P has coordinates (?, ?)
I know the length of MN is
The length of NP must also =

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Square both sides

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The slope of MP is the same as MN, which is , so

By substitutioon:

and

So, point P has coordinates ( 6,16 )
Check:
Does the slope of MP = 2?

OK
Hope all this helps
Here's a plot of the line going through M, N, and P