# How do you find the coordinates of the other endpoint of a segment with the given A are (-2,3) and the coordinates of midpoint M are (1,0)?

Jul 9, 2016

Other midpoint is $\left(4 , - 3\right)$

#### Explanation:

The midpoint is found from averaging the x-values of the endpoints and averaging the y-values.

Write down what has been done to find the Midpoint if one endpoint is (-2, 3) and the other endpoint is $\left({x}_{1} , {y}_{1}\right)$

$\frac{- 2 + {x}_{1}}{2} = 1 \text{ and } \frac{3 + {y}_{1}}{2} = 0$

Solve each equation to find $\left({x}_{1} , {y}_{1}\right)$

$- 2 + {x}_{1} = 2 \text{ } 3 + {y}_{1} = 0$

$\text{ "x_1 = 4" } {y}_{1} = - 3$

Other midpoint is $\left(4 , - 3\right)$