Respuesta :

add up the X values and y values and divide by two

X=(-2+6)/2=2

Y=(-4=8)/2=2

Answer:

The mid-point of S(-2, -4) and T(6, 8) is (2, 2).

Step-by-step explanation:

Given that ST has the end points S(-2, -4) and T (6, 8)

we have to find the coordinates of the midpoint of ST.

By mid-point formula

[tex]\text{The coordinates of mid-point of line segment joining the points }(x_1,y_1) and (x_2, y_2)\text{ is }[/tex]

[tex]\text{Coordinates of mid-point}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Coordinates of S is (-2, -4) and T is (6, 8)

[tex]\text{Mid-point of ST}=(\frac{-2+6}{2},\frac{-4+8}{2})[/tex]  

[tex]=(\frac{4}{2}, \frac{4}{2})=(2,2)[/tex]

Hence, the mid-point of S(-2, -4) and T(6, 8) is (2, 2).