Answer:
The coordinates of the missing endpoint can be written as;
[tex](-2,0)[/tex]Explanation:
Given that the midpoint of the line RO is;
[tex](-1,-3)[/tex]And the point O is at;
[tex](0,-6)[/tex]Let point R, which is the missing endpoint be represented by;
[tex](x,y)[/tex]Recall that the midpoint of two lines can be written as;
[tex]x=\frac{x_1+x_2}{2}[/tex]Applying the given formula to the x and y axis;
[tex]\begin{gathered} -1=\frac{0+x}{2} \\ -2=x \\ x=-2 \end{gathered}[/tex][tex]\begin{gathered} -3=\frac{-6+y}{2} \\ -6=-6+y \\ y=-6+6 \\ y=0 \end{gathered}[/tex]Therefore, the missing endpoint can be written as;
[tex](-2,0)[/tex]