The midpoint of a segment is (−2,−3) and one endpoint is (3,0) . Find the coordinates of the other endpoint. A. (8, 3) B. (-7, 3) C. (8, -6) D. (-7, -6)

The midpoint can be defined using formula,[tex]M(x_m=\dfrac{x_1+x_2}{2},y_m=\dfrac{y_1+y_2}{2})[/tex]So by knowing [tex]x_m, x_1[/tex] and [tex]y_m, y_1[/tex] we can calculate [tex]x_2, y_2[/tex]First we must derive two equations,[tex]x_m=\dfrac{x_1+x_2}{2}\Longrightarrow x_2=2x_m-x_1[/tex]and[tex]y_m=\dfrac{y_1+y_2}{2}\Longrightarrow y_2=2y_m-y_1[/tex]Then just put in the data,[tex]x_2=2\cdot(-2)-3=-7[/tex][tex]y_2=2\cdot(-3)-0=-6[/tex]So the other endpoint has coordinates [tex](x,y)\Longrightarrow(-7, -6)[/tex] therefore the answer is D.Hope this helps.r3t40