Find the other endpoint of the line segment that has the given endpoint and midpoint

Question

Endpoint (2,1), midpoint (7,3)

Answer 1

From the given endpoint to the midpoint, you go over 5 and up 2. So, starting from the midpoint, do that again:

7+5 = 12 (x value)

3+2 = 5 (y value)

So the other endpoint is (12, 5)

Plot on graph paper to see it.

EDIT--fixed an error

Answer 2

The line goes through midpoint (7, 3) and endpoint (2, 1). You traverse the line from midpoint to endpoint like this:

To find the change in x from endpoint to midpoint

Δx = 7 - 2 = 5

To find the change in y from endpoint to midpoint

Δy = 3 - 1 = 2

To find the other endpoint, you must traverse the same distance again, starting at the midpoint:

x_other-end = 7 + 5 = 12

y_other-end = 3 + 2 = 5

So your other endpoint is (12, 5).