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by **William** » Fri May 03, 2013 6:21 am

IB Math studies, midpoint formula

How can we find the coordinates of the midpoint of line segment AB where A(1,-5) and B(12,-3) ?

Thanks

by **nicole** » Fri May 03, 2013 6:23 am

Midpoint formula, IB Math studies

The coordinates of the midpoint of a line segment defined by the points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ is given by the following formula:

$(x_{m}, y_{m} )=( \frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )$

Applying the midpoint formula in our case we have the following:

$(x_{m}, y_{m} )=( \frac{1+12}{2},\frac{-5-3}{2} )=$

$=( \frac{13}{2},\frac{-8}{2} )$

$=(\frac{13}{2}, -4)$

Hope these help!

by **William** » Fri May 03, 2013 6:24 am

Thanks Nicole!!

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Midpoint ib math studies

Midpoint ib math studies

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