SOLUTION: Find the slope and midpoint of the line segment from P(2,-3) to Q(2+n,-3+5n).

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the slope and midpoint of the line segment from P(2,-3) to Q(2+n,-3+5n).      Log On


   

Question 1104652: Find the slope and midpoint of the line segment from P(2,-3) to Q(2+n,-3+5n).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-3%2B5n-%28-3%29%29%2F%282%2Bn-2%29
m=%28-3%2B5n%2B3%29%2F%28n%29
I leave it to you to simplify.
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Midpoint:
x%5Bm%5D=%282%2B2%2Bn%29%2F2=%284%2Bn%29%2F2=2%2Bn%2F2
y%5Bm%5D=%28-3-3%2B5n%29%2F2=%28-6%2B5n%29%2F2=-3%2B%285%2F2%29n