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)?

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Answer 1 · 2016-07-09T15:00:46

Other midpoint is $(4, - 3)$ $(4, -3)$

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 $(x_{1}, y_{1})$ $(x_1, y_1)$

$\frac{- 2 + x_{1}}{2} = 1 and \frac{3 + y_{1}}{2} = 0$ $(-2+x_1)/2 = 1 " and "(3+ y_1)/2 = 0$

Solve each equation to find $(x_{1}, y_{1})$ $(x_1, y_1)$

$- 2 + x_{1} = 23 + y_{1} = 0$ $-2 + x_1 = 2 " " 3+ y_1 = 0$

$x_{1} = 4 y_{1} = - 3$ $" "x_1 = 4" " y_1 = -3$

Other midpoint is $(4, - 3)$ $(4, -3)$