## Intermediate Algebra (12th Edition)

$\displaystyle (\frac{-5}{12},\frac{5}{28})$
To find the midpoint between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the midpoint formula: $\displaystyle Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ We use the points $(-1/3,2/7)$ and $(-1/2,1/14)$: $\displaystyle Midpoint=(\frac{-1/3+-1/2}{2},\frac{2/7+1/14}{2})$ $\displaystyle Midpoint=(\frac{-2/6+-3/6}{2},\frac{4/14+1/14}{2})$ $\displaystyle Midpoint=(\frac{-5/6}{2},\frac{5/14}{2})$ $\displaystyle =(\frac{-5}{12},\frac{5}{28})$