Question

if two points R and T, have coordinates of R(-5,8) and T(3,14), then which of the following points lies at the point of RT

Answer 1

We are given the following two points

`R(-5,8)\quad and\quad T(3,14)`

Recall that the midpoint formula is given by

`RT=((x_1+x_2)/(2),(y_1+y_2)/(2))`

Let us substitute the given coordinates into the above midpoint formula

`\begin{gathered} RT=((x_1+x_2)/(2),(y_1+y_2)/(2)) \\ RT=(\frac{-5_{}+3}{2},\frac{8_{}+14}{2}) \\ RT=((-2)/(2),(22)/(2)) \\ RT=(-1,11) \end{gathered}`

Therefore, the point (-1, 11) is the midpoint of RT.

Option (3) is the correct answer.