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How do you find the midpoint between (5,-6), (7,-9)?

1 Answer

Sep 19, 2016

$(6, - \frac{15}{2})$ $(6, - (15) / (2))$

Explanation:

We have: $(5, - 6)$ $(5, -6)$ and $(7, - 9)$ $(7, -9)$

Let's use the mid-point formula:

$\Rightarrow$ $=>$ Midpoint $= (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $= ((x_(1) + x_(2)) / (2), (y_(1) + y_(2)) / (2))$

$\Rightarrow$ $=>$ Midpoint $= (\frac{5 + 7}{2}, \frac{(- 6) + (- 9)}{2})$ $= ((5 + 7) / (2), ((- 6) + (- 9)) / (2))$

$\Rightarrow$ $=>$ Midpoint $= (\frac{12}{2}, - \frac{15}{2})$ $= ((12) / (2), - (15) / (2))$

$\Rightarrow$ $=>$ Midpoint $= (6, - \frac{15}{2})$ $= (6, - (15) / (2))$

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