Find the coordinates of the missing endpoint if p is the midpoint of line segment nq. 19. n( 2, 0), p( 5, 2) 20. n( 5, 4), p( 6, 3) 21. q( 3, 9), p( -1, 5) (i need the explanation on how to solve problems like these; just the answer wont )

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2:

Next, subtract both sides by 2 and your x-coordinate is

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

Putting it together, the missing endpoint is (8,4).

(The process is pretty much the same with the other problems, so I'll go through them real quickly.)

The missing endpoint is (7,2).

The missing endpoint is (-5,1).