SOLUTION: Find the length and midpoint of the line segment between the given points. P1(7, -2), P2(-4, -1)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the length and midpoint of the line segment between the given points. P1(7, -2), P2(-4, -1)       Log On


   

Question 263451: Find the length and midpoint of the line segment between the given points.
P1(7, -2), P2(-4, -1)
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
we are given the following coordinates:
P1(7, -2), P2(-4, -1)
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distance is
d+=+sqrt%28%28y2-y1%29%5E2+%2B+%28x2-x1%29%5E2%29
from our coordinates, we get
d+=+sqrt%28%28-1-%28-2%29%29%5E2+%2B+%28-4-7%29%5E2%29
and simplifying we get
d+=+sqrt%28%281%29%5E2+%2B+%28-11%29%5E2%29
and then
d+=+sqrt%28122%29
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midpoint is
mp = %28x1%2Bx2%29%2F2 , %28y1%2By2%29%2F2
again from above, we get
mp = %287-4%29%2F2 , %28-2-1%29%2F2
simplified, we get
mp = 3%2F2 , -3%2F2