Question

The coordinates of point T are.....

What is the other endpoint

Answer 1

(6, -11)

Explanation:

To find the coordinates of point S, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint M between two points (x₁, y₁) and (x₂, y₂) are given by:

`M(x,y)=\left((x_2+x_1)/(2),(y_2+y_1)/(2)\right)`

In this case, the midpoint of ST is (3, -3), point S is (x₁, y₁), and point T is (x₂, y₂). Therefore:

• (x₂, y₂) = (0, 5)
• M(x, y)= (3, -3)

Substitute these values into the midpoint formula:

`(3,-3)=\left((0+x_1)/(2),(5+y_1)/(2)\right)`

Solve for the x and y coordinates separately.

Solving for x:

`3=(0+x_1)/(2)`

`6=0+x_1`

`x_1=6`

Solving for y:

`-3=(5+y_1)/(2)`

`-6=5+y_1`

`y_1=-11`

Therefore, the coordinates of point S are (6, -11).