SOLUTION: Help! I have 3 sets of points and don't know how to do this???? Here's the problem: Find the slope of the segment drawn from point C (2,2) to the midpoint of D (4,2) and E (-8,1

Algebra ->  Points-lines-and-rays -> SOLUTION: Help! I have 3 sets of points and don't know how to do this???? Here's the problem: Find the slope of the segment drawn from point C (2,2) to the midpoint of D (4,2) and E (-8,1      Log On


   

Question 161979: Help! I have 3 sets of points and don't know how to do this????
Here's the problem: Find the slope of the segment drawn from point C (2,2) to the midpoint of D (4,2) and E (-8,18). I got -2 but I'm not sure if that is correct???
Here's one more I'm having trouble with: If Y is the midpoint of segment UV and UY = 4x-3 and YV =x find UV. I got 5x-3 but again I'm not sure if it's right ???? Please help!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, for a person who doesn't know how to do this, you sure got the right answer!
Let's first find the mid-point of the line segment DE.
D(4,2) and E(-8,18)
The coordinates of the mid-point of a line segment are given by:
(%28x%5B1%5D%2Bx%5B2%5D%29%2F2,%28y%5B1%5D%2By%5B2%5D%29%2F2) making the appropriate substitutions:
(%284%2B%28-8%29%29%2F2,%282%2B18%29%2F2) Simplify.
(-4%2F2,20%2F2)
(-2,10)
Now we find the slope (m) of the line segment from C(2,2) to the mid-point of DE(-2,10) using the slope formula:
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 making the appropriate substitutions:
m+=+%2810-2%29%2F%28-2-2%29 Simplify.
m+=+8%2F-4
m+=+-2
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Well, UV = the sum of the two equal halves UY+YV and UY = 4x-3 and YV = x, so...
UV = (4x-3)+x
UV = 5x-3
So you are correct on both problems!