Question

The coordinates of point T are (0,6). The midpoint of ST is (3,-5). Find the coordinates of point S.

Answer 1

Answer: the coordinates of point S are (6, -16)

Explanation:

Let’s say the coordinates of point S are (x, y). Since the midpoint of ST is (3, -5), we can use the midpoint formula to find the coordinates of point S. The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values for point T and the midpoint of ST into the formula, we get:

(3, -5) = ((0 + x)/2, (6 + y)/2)

Solving for x and y, we get:

x = 6 and y = -16