Question

The coordinates of point Y are given. The midpoint of ST is (5, -8). Find the coordinates of point S.

A) (0, -8)
B) (5, 8)
C) (10, -16)
D) (0, 16)

Answer 1

To find the coordinates of point S, we can use the midpoint formula. The midpoint of ST is (5, -8). The coordinates of point S are (x1, -16).

Step-by-step explanation:

To find the coordinates of point S, we can use the midpoint formula.

The midpoint of ST is (5, -8).

The formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

So, for ST, we can write:

(5, -8) = ((x1 + x2)/2, (y1 + y2)/2).

Substituting the coordinates of point Y into the formula, we have:

(5, -8) = ((x1 + 10)/2, (y1 + 0)/2).

Simplifying the equation, we get:

5 = (x1 + 10)/2,

-8 = y1/2.

Multiplying both sides of the second equation by 2, we have:

-16 = y1.

Therefore, the coordinates of point S are (x1, -16).