What is the length of a segment with an endpoint of (-3, 1) and a midpoint of (8, 2)?

1 Answer
Kashan Hanif
Nov 19, 2015

#(x_2, y_2)=(19, 3)#

Explanation:

If one end-point#(x_1, y_1)# and mid-point#(a, b)# of a line-segment is known, then we can use mid-point formula to find the second end-point#(x_2, y_2).

How to use midpoint formula to find an endpoint?

#(x_2, y_2)=(2a-x_1, 2b-y_1)#

Here,
#(x_1, y_1)=(-3, 1)#
and
#(a, b)=(8, 2)#

So,
#(x_2, y_2)=(2color(red)((8)) -color(red)((-3)), 2color(red)((2))-color(red)1)#
#(x_2, y_2)=(16+3, 4-1)#
#(x_2, y_2)=(19, 3)#

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