Answered

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 :

We are given the following two points

[tex]R(-5,8)\quad and\quad T(3,14)[/tex]

Recall that the midpoint formula is given by

[tex]RT=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Let us substitute the given coordinates into the above midpoint formula

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

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

Option (3) is the correct answer.

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