Question 400996
In words:
( endpoint #1 + endpoint #2) / 2 = midpoint
You need to use this formula twice, once for
x-coordinates, and again for the y -coordinates
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suppose the endpoints are:
(0,1) and (7,5)
(7 + 0)/2 = 7/2
and
(5 + 1)/2 = 3
The midpoint is (7/2 , 3)
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To check, the equation that includes the endpoints is
{{{(y - 1)/(x - 0) = (5 - 1)/(7 - 0)}}}
{{{(y - 1)/x = 4/7}}}
{{{y - 1 = (4x)/7}}}
{{{y = (4/7)*x + 1}}}
Does it include the midpoint?
{{{ 3 = (4/7)*(7/2) + 1}}}
{{{3 = 2 + 1}}}
{{{3 = 3}}}
OK