The coordinates of point S are (10, -19), using the midpoint formula.
The midpoint for any line segment AB, with the coordinates of the endpoint as A (x₁, y₁) and B (x₂, y₂) by the midpoint formula will have the coordinates as:
( {x₁ + x₂}/2, {y₁ + y₂}/2 ).
In the question, we are given that the coordinates of point T are (0, 3), and the midpoint of ST is (5, -8).
We are asked to find the coordinates of point S.
We assume the coordinates of point S to be (x, y).
By the midpoint formula, the coordinates of the midpoint of ST will have the coordinates as:
( {x + 0}/2, {y + 3}/2 ),.
But, we are given that the coordinates of the midpoint of S are (5, -8).
Thus, we get the equation:
( {x + 0}/2, {y + 3}/2 ) = (5, -8), which implies that:
{x + 0}/2 = 5,
or, x/2 = 5,
or, x = 10.
AND
{y + 3}/2 = -8,
or, y + 3 = -16,
or, y = -19.
Thus, the coordinates of point S are (10, -19), using the midpoint formula.
Learn more about the midpoint formula at
https://brainly.com/question/5566419
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