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)#

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)#

#(-2+x_1)/2 = 1 " and "(3+ y_1)/2 = 0#

Solve each equation to find # (x_1, y_1)#

#-2 + x_1 = 2 " " 3+ y_1 = 0#

#" "x_1 = 4" " y_1 = -3#

Other midpoint is #(4, -3)#