Question

The teacher never went over how to solve for this type of question, please help explain how I solve this.

Answer 1

Given;

`midpoint(-9,8),endpoint(-1,1)`

Using the midpoint formula;

`midpoint((x_1+x_2)/(2),(y_1+y_2)/(2))`

Thus;

`\begin{gathered} (x_1+x_2)/(2)=-9;x_2=-1 \\ \\ x_1-1=2(-9) \\ \\ x_1=-18+1 \\ \\ x_1=-17 \end{gathered}`

Similarly;

`\begin{gathered} (y_1+y_2)/(2)=8;y_2=1 \\ \\ y_1+1=2(8) \\ \\ y_1=16-1 \\ \\ y_1=15 \end{gathered}`

Thus, the other endpoint is;

`(-17,15)`