Question

A segment in the coordinate plane has an endpoint with coordinates (1,2) and midpoint with coordinates (4,3). What are the coordinates of the other endpoint, (x,y)?

Answer 1

(7,4)

Explanation:

midpoint formula (x1+x2)/2 , (y1+y2)/2

Look at x and y for the endpoints separately

midpoint x value = ( 1 + x)/2

4= (1 + x)/2

8 = 1 + x

x = 7

midpoint y value = (2 + y)/2

3 = (2 + y)/2

6 = 2 + y

y = 4

endpoint (x,y) = (7,4)