[SPLIT, MOVED] find endpoint, given midpoint and other endpt

[navi99]

How would I do the following?

Find the coordinates of the other endpoint of a segment with given endpoint Q(2, -3) and midpoint M(-6, -4).

 

[stapel]

Plug the given information into the Midpoint Formula that they gave you, and solve for the values of x and y.

If you get stuck, please reply showing how far you have gotten. Thank you.

Eliz.

 

[soroban]

Re: [SPLIT, MOVED] find endpoint, given midpoint and other e

Hello, navi99!

Did you make a sketch? . . . You could "eyeball" the answer.

Find the coordinates of the other endpoint of a segment with given endpoint Q(2, -3)
and midpoint M(-6, -4).

                                  |
      ----------------------------+---------
                                  |
                                  |   Q
                      M           |   *
      P               *           | (2,-3)
      *            (-6,-4)        |
    (?,?)                         |

To get from \(\displaystyle Q\) to \(\displaystyle M\), we "walk" 8 units left and 1 unit down.

It's reasonable to walk 8 more units left and 1 more unit down to locate point \(\displaystyle P\).

Therefore, point \(\displaystyle P\) is \(\displaystyle (-14,-5)\).

 

[navi99]

ah okay, i get it, thank you!!!