SOLUTION: A pair of points is given. (a) plot the points in a coordiunate plane. (b) find the distance between them. (c) find the midpoint of the segment joins them. (2,-1), (4,3)

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Question 45438: A pair of points is given.
(a) plot the points in a coordiunate plane.
(b) find the distance between them.
(c) find the midpoint of the segment joins them.
(2,-1), (4,3)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
(a) plot the points in a coordiunate plane.
Points (2,-1), (4,3)
+graph%28+600%2C+500%2C+-3%2C+10%2C+-10%2C+10%2C+2x-5%29+
.
.
(b) find the distance between them.

distance+%28d%29+=+sqrt%28+%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29+
distance+%28d%29+=+sqrt%28+%282-4%29%5E2+%2B+%28-1-3%29%5E2%29+
distance+%28d%29+=+sqrt%28+%28-2%29%5E2+%2B+%28-4%29%5E2%29+
distance+%28d%29+=+sqrt%28+%284%29+%2B+%2816%29%29+
distance+%28d%29+=+sqrt%28+%2820%29%29+
distance+%28d%29+=+2sqrt%28+%285%29%29+
d = 4.472


(c) find the midpoint of the segment joins them.
((c) find the midpoint of the segment joins them.
Midpoint = [ (x1+x2)/2, (y1+y2)/2 ]
Midpoint = [ (2+4)/2, (-1+3)/2 ]
Midpoint = [ 6/2, 2/2 ]
Midpoint = (3, 1)