Question

ST has endpoints Y(-2, -4) and T (6, 8). Find the coordinates of the midpoint of ST

Answer 1

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

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

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

Answer 2

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

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

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

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

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

`\text{Mid-point of ST}=((-2+6)/(2),(-4+8)/(2))`

`=((4)/(2), (4)/(2))=(2,2)`

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