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How do you find the midpoint of (1.8,-1) (-6.3,5.2)?

1 Answer

Mar 7, 2016

The midpoint: $= (- 2.25, 2.1)$ $= (-2.25 , 2.1)$

Explanation:

$(1.8, - 1) = x_{1}, y_{1}$ $(1.8,-1) = color(blue)(x_1,y_1$
$(- 6.3, 5.2) = x_{2}, y_{2}$ $(-6.3,5.2) = color(blue)(x_2,y_2$

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

$= (\frac{1.8 + (- 6.3)}{2}, \frac{- 1 + (5.2)}{2})$ $=( (1.8+(-6.3))/2 , (-1+(5.2))/2)$

$= (\frac{- 4.5}{2}, \frac{4.2}{2})$ $= ((-4.5)/2 , (4.2)/2)$

$= (- 2.25, 2.1)$ $= (-2.25 , 2.1)$

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