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How do you find the midpoint of A (-1,5) B (6,-3)?

1 Answer

Feb 29, 2016

The midpoint $= (\frac{5}{2}, 1)$ $=((5)/2 , 1)$

Explanation:

A $(- 1, 5) = x_{1}, y_{1}$ $(-1,5) = color(blue)(x_1,y_1$

B $(6, - 3) = x_{2}, y_{2}$ $(6,-3) = color(blue)(x_2,y_2$

The midpoint is calculated using formula: $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $color(green)(((x_1+x_2)/2 , (y_1+y_2)/2)$

$= (\frac{- 1 + 6}{2}, \frac{5 + (- 3)}{2})$ $=((-1+6)/2 , (5+ (-3))/2)$

$= (\frac{5}{2}, \frac{2}{2})$ $=((5)/2 , (2)/2)$

$= (\frac{5}{2}, 1)$ $=((5)/2 , 1)$

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