What are the coordinates of the midpoint of the segment with endpoints at #(1,5)# and #(3, 5)#?

1 Answer
Wayne
Mar 13, 2016

The co-ordinates are #(2,5)#

Explanation:

If you were to plot these two points on a grid you would easily see the mid-point is #(2,5)#.
Using algebra, the formula for locating the mid point is:
#((x_1+x_2)/2,(y_1+y_2)/2)#
In your case# x_1# = 1 and #x_2# =3. So #((1+3)/2)# = #(4/2)#=#2#
Next, #y_1# = 5 , and #y_2#=5. So #((5+5)/2)# = #(10/2)#= # 5#

Therefore the mid point is #(2,5)#

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