Question

The coordinates of points are given, and the midpoint of a line ST is (5, -8). Find the coordinates of point S.

a) (0, -16)
b) (10, -16)
c) (5, -16)
d) (5, -4)

Answer 1

To find the coordinates of point S, use the midpoint formula which states that the coordinates of the midpoint of a line segment are the average of the coordinates of the endpoints. Simplify the equation and solve for x and y to find the coordinates of S.

Step-by-step explanation:

To find the coordinates of point S, we need to understand the concept of midpoint. The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of the endpoints. In this case, the midpoint is (5, -8) and we are looking for the coordinates of point S. Let's say the coordinates of point T are (x, y). Using the midpoint formula, we can set up the equation:

(5, -8) = ((x + 5) / 2, (y + -8) / 2)

Simplifying the equation, we have:

10 = (x + 5) / 2

16 = y - 8

Multiplying both sides of the first equation by 2, we get:

20 = x + 5

Subtracting 5 from both sides, we have:

15 = x

Therefore, the coordinates of point S are (15, 16).