Final answer:
To find the coordinates of point S, we need to use the midpoint formula. The coordinates of point T are (6,-12) and the midpoint of ST is (6,-9). By substituting the given values into the formula, we find that the coordinates of point S are (6, -6).
Step-by-step explanation:
To find the coordinates of point S, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points, (x₁, y₁) and (x₂, y₂), is given by:
x-coordinate of midpoint = (x₁ + x₂) / 2
y-coordinate of midpoint = (y₁ + y₂) / 2
Using the given midpoint of ST (6,-9) and the coordinates of point T (6,-12), we can substitute the values into the formula to find the x-coordinate of point S:
x-coordinate of S = (6 + x₂) / 2 = 6
Now, we can find the y-coordinate of point S:
(-12 + y₂) / 2 = -9
Simplifying the equation:
-12 + y₂ = -18
y₂ = -6
Therefore, the coordinates of point S are (6, -6).