find the coordinates of the missing endpoint if E is the midpoint of df. f=(5,8) E=(4,3)

Coordinates of the midpoint [tex](h,k)[/tex] of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,[tex]h=\frac{x_1+x_2}{2}[/tex][tex]k=\frac{y_1+y_2}{2}[/tex]If the coordinates of the endpoints D, F and midpoint E are [tex](x_1,y_1)[/tex], [tex](5,8)[/tex] and [tex](4,3)[/tex] respectively,Coordinates of the endpoint D,[tex]4=\frac{x_1+5}{2}[/tex][tex]x_1+5=8[/tex][tex]x_1=3[/tex][tex]3=\frac{8+y_1}{2}[/tex][tex]y_1+8=6[/tex][tex]y_1=-2[/tex]Therefore, coordinates of the endpoint D are [tex](3,-2)[/tex].Learn more,