Question

If a line segment has an endpoint at (10, 4) and midpoint (2,-2), what is the location of the other endpoint?

Answer 1

The other endpoint is located at (-6, -6).

Step-by-step explanation:

To find the location of the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two endpoints (x1, y1) and (x2, y2) are given by:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

In this case, the endpoint is (10, 4) and the midpoint is (2, -2). Plugging these values into the formula, we get:

x = (10 + x2) / 2 = 2

y = (4 + y2) / 2 = -2

Solving these equations, we find that the other endpoint is (-6, -6).