Question

T is the midpoint of Rs. T has coordinates (6, -4), and S has coordinates (3, -2). What are the coordinates of the endpoint R?

Answer 1

To find the coordinates of the endpoint R, we can use the midpoint formula. The coordinates of R are (9, -6).

Step-by-step explanation:

To find the coordinates of the endpoint R, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint (M) between two points (A and B) is given by:

M = ((xA + xB)/2, (yA + yB)/2)

In this case, the coordinates of the midpoint T are (6, -4) and the coordinates of S are (3, -2). Plugging these values into the formula:

6 = (xA + 3)/2

-4 = (yA - 2)/2

Solving these equations, we find that the coordinates of R are:

(xA, yA) = (9, -6)