Question

2. FR has a midpoint M. Use the given information to find the missing endpoint. F(-2,3) and M(3,0)

Answer 1

R(8, -3)

Explanation:

We have that the midpoint formula is the following:

`M(m_1,m_2)=((x_1+x_2)/(2),(y_1+y_2)/(2))`

In this case, we know the midpoint M, that is, m1 and m2 and the startpoint F, that is, we know, x1 andy1, we replace to calculate the values of R, the endpoint:

`\begin{gathered} 3=(-2+x_2)/(2) \\ 6=-2+x_2 \\ x_2=6+2=8 \\ \\ 0=(3+y_2)/(2) \\ 0=3+y_2 \\ y_2=-3 \\ \\ \text{Therefore, the missing endpoint is: (8,-3)} \end{gathered}`