please help!

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P).

P = (3, 5) and M =(-2, 0)

-(1/2, 5/2)
-(-1, -5)
-(-7, -5)

Question

please help!

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). 

P = (3, 5) and M =(-2, 0)

-(1/2, 5/2)
-(-1, -5)
-(-7, -5)

anonymous · Answer

you can set up equations if you'd like.... (3+x)/2 = -2 and solve.  The midpoint is basically the average of the end points.  The x's averaged and the y's averaged.  This is where I come up with the equation.  OR... easier.  It takes 5 units to get from 3 to -2.  Repeat going the same "direction"... in this case negatively.  5 more from -2 is -7.  Repeat for the y's.  It's also 5 to get from 5 to 0, 5 more in the negative direction in this case as well... will give you -5.  So (-7, -5).