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How do you find the midpoint of (2,-4) and (5,-2)?

1 Answer

Feb 26, 2016

$M = (3.5, - 3)$ $M = (3.5 , -3)$

Explanation:

The midpoint of a line created by the coordinates of the endpoints of the line can be determined using the formula

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $M= ((x_1+x_2)/2 , (y_1+y_2)/2)$

For the coordinates (2,-4) and (5,-2)

$x_{1} = 2$ $x_1 = 2$
$x_{2} = 5$ $x_2 = 5$
$y_{1} = - 4$ $y_1 = -4$
$y_{2} = - 2$ $y_2 = -2$

$(\frac{2 + 5}{2}, \frac{- 4 + (- 2)}{2})$ $((2+5)/2 , (-4+(-2))/2)$
$(\frac{7}{2}, - \frac{6}{2})$ $(7/2 , -6/2)$
$M = (3.5, - 3)$ $M = (3.5 , -3)$

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