Question

The coordinates of point T are ​(0​,4​). The midpoint of is ​(​4,​-3). Find the coordinates of point S. The other endpoint is nothing. ​(Type an ordered​ pair.)

Answer 1

To find the coordinates of point S when given point T (0, 4) and the midpoint (4, -3), you can use the midpoint formula and solve for S, resulting in the coordinates S (8, -10).

Step-by-step explanation:

The coordinates of point T are (0, 4), and the midpoint of ST is (4, -3). To find the coordinates of point S, you can use the midpoint formula which states that the midpoint M(x, y) is calculated using the endpoints S(x1, y1) and T(x2, y2) as follows:

M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Since we know the midpoint M and point T, we can substitute and solve for S:

(4, -3) = ((x1 + 0) / 2, (y1 + 4) / 2)

To find x1:

4 = (x1 / 2)
x1 = 4 * 2
x1 = 8

To find y1:

-3 = (y1 + 4) / 2
-6 = y1 + 4
y1 = -6 - 4
y1 = -10

Therefore, the coordinates of point S are (8, -10).