SOLUTION: Please show me step by step these two parts. a) Find the distance between the points (7,-8) and (-2,4) b) Find the midpoint of the line segment with endpoints (7,-8) and (-2, 4

Algebra ->  Graphs -> SOLUTION: Please show me step by step these two parts. a) Find the distance between the points (7,-8) and (-2,4) b) Find the midpoint of the line segment with endpoints (7,-8) and (-2, 4      Log On


   



Question 925828: Please show me step by step these two parts.
a) Find the distance between the points (7,-8) and (-2,4)
b) Find the midpoint of the line segment with endpoints (7,-8) and (-2, 4)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a) Find the distance between the points (7,-8) and (-2,4)
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It's the Pythagorean Theorem.
d%5E2+=+diffy%5E2+%2B+diffx%5E2+=+12%5E2+%2B+9%5E2
d%5E2+=+153+=+9%2A17
d+=+3sqrt%2817%29
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b) Find the midpoint of the line segment with endpoints (7,-8) and (-2,4)
It's the average of x any y separately.
For x: (7-2)/2 = 2.5
For y: (-8+4)/2 = -2
--> (2.5,-2) or (5/2,-2)