# How do you find the midpoint of (0,4) and (-sqrt2,0)?

$\left(- \frac{\sqrt{2}}{2} , 2\right)$
The midpoint formula tells us the midpoint between two coordinate pairs $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) = \left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$.
Here, ${x}_{1} = 0 , {x}_{2} = - \sqrt{2} , {y}_{1} = 4 , {y}_{2} = 0$, so the midpoint is
$\left(- \frac{\sqrt{2}}{2} , \frac{4}{2}\right) = \left(- \sqrt{\frac{2}{2}} , 2\right)$