SOLUTION: How would I find the midpoint of the lone segment having these endpoints (8,1) and (2,9) Find the other endpoint of a line segment with given midpoint and one endpoint endpoi

Question 256652: How would I find the midpoint of the lone segment having these endpoints (8,1) and (2,9)

Find the other endpoint of a line segment with given midpoint and one endpoint endpoint- (0,0) midpoint- (4, -3)
find the distance between the points (-3, -7) and (-4, 15)

Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How would I find the midpoint of the lone segment having these endpoints (8,1) and (2,9)
---
Let the midpoint be (x,y)
x is the average of 8 and 2 = (8+2)/2 = 5
y is the average of 1 and 9 = (1+9)/2 = 5
---
midpoint is (5,5)
------------------------------------
Find the other endpoint of a line segment with given midpoint and one endpoint endpoint- (0,0) midpoint- (4, -3)
---
Let the other endpoint be (x,y)
(0+x)/2 = 4 so x = 8
(0+y)/2 = -3 so y = -6
---
Other endpoint is (8,-6)
---------------------------------------
find the distance between the points (-3, -7) and (-4, 15)
d = sqrt(change in x)^2 + change in y)^2
d = sqrt(1^2 + 22^2)
d = sqrt(1 + 484)
d = 22.0227..
-------------
Cheers,
Stan H.

RELATED QUESTIONS
Find the other endpoint of the line segment with the given endpoint and midpoint... (answered by josmiceli)

Find the other endpoint of a line segment with the given midpoint and one endpoint.... (answered by dyakobovitch)

Find the other endpoint of the line segment with the given endpoint and midpoint.... (answered by josgarithmetic,greenestamps)

Find the other endpoint of the line segment that has the given endpoint and midpoint... (answered by htmentor,greenestamps)

Find the other endpoint of a line segment with the given midpoint and one endpoint.... (answered by Edwin McCravy,lwsshak3)

Find the other endpoint of a line segment with the given midpoint and one endpoint (I... (answered by jim_thompson5910)

the midpoint of a line segment is (2,-1) and one end point of segment is (-1,3). find the (answered by solver91311)

find the midpoint of the line segment having the given endpoints 8, -4 and -7... (answered by rfer)

Find the midpoint of the line segment having the given endpoints. (8, -4) and (-7,... (answered by tara0066,richard1234)