Question

Find The T value for point that splits segment EF in half if point E is located at (5,-2) and point F is located at (-1,3).

Answer 1

The formula of a midpoint between two points:

$M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

We have:

$(5,\ -2)\to x_1=5,\ y_1=-2\\\\(-1,\ 3)\to x_2=-1,\ y_2=3$

Substitute:

$\dfrac{5+(-1)}{2}=\dfrac{4}{2}=2\\\\\dfrac{-2+3}{2}=\dfrac{1}{2}$

Answer: $T\left(2,\ \dfrac{1}{2}\right)$