SOLUTION: HI how to find the midpoint and length of the line segment with endpoints (2,0) and (-3,-1). Thank you

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Question 62216This question is from textbook Algebra for college students
: HI
how to find the midpoint and length of the line segment with endpoints (2,0) and (-3,-1).
Thank you
This question is from textbook Algebra for college students

Found 2 solutions by venugopalramana, kapilsinghi:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
HI
how to find the midpoint and length of the line segment with endpoints (2,0) and (-3,-1).
Thank you
MID POINT IS GIVEN BY AVERAGE OF COORDINATES
HENCE
X COORDINATE OF MIDPOINT = (2-3)/2 =-1/2
Y COORDINATE OF MIDPOINT = (0-1)/2 =-1/2
HENCE MIDPOINT IS (-0.5,-0.5)

Answer by kapilsinghi(68) About Me  (Show Source):
You can put this solution on YOUR website!
endpoints (2,0) and (-3,-1).
Line with endpoints (x1,y1) and (x2,y2)
Midpoint of this segement is ((x1+x2)/2,(y1+y2)/2)
so mid point is ((2-3)/2,(0+(-1))/2)
(-1/2,-1/2)

length of the segement = sqrt[(x1-x2)^2 + (y1-y2)^2]
= sqrt[(2-(-3))^2 + (0-(-1))^2]
= sqrt[(5)^2 + (1))^2]
= sqrt[25 + 1]
= sqrt(26)
Regards
Kapil
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