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1 year ago

What are the coordinates of the point that is one half the distance between A(-1, -2) and B(6, 12)?

Mathematics

1 answer:

MA_775_DIABLO [31]1 year ago

5 0

The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)

What is the midpoint?

The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.

Given, $A(6,12) = (x_{1}, y_{1} )$

$B(6,12) = (x_{2}, y_{2} )$

Let M is a midpoint of AB, then

$M(x,y)=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2}}{2} )= (\frac{-1+6}{2} ,\frac{-2+12}{2} )=(2.5,5)$

The midpoint of point AB is M(2.5,5)

Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).

To learn more about the midpoint

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