Question

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)

Answer 1

(-7,-5)

Explanation:

Hope it helps.

Answer 2

I'll try to explain. The trouble is that I do not know English :)
About Points
S = (x,y) searched point (it will be in the third quadrant )
M = (-2,0) Midpoint | SP |
P = (3,5) one end of the segment | SP |

You have to draw Cartesian.

we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate .

We use the information that | SM | = | MP |


`x_(S) - x_(M) = x_(M) - x_(P) \\ \\ x_(S) - (-2) = -2 - 3 \\ \\ x_(S) +2 = -5 \\ \\ x_(S) = -5 - 2 = -7`


`y_(S) - y_(M) = y_(M) - y_(P) \\ \\ y_(S) - 0 = 0 - 5 \\ \\ y_(S) = -5`

Answer : S = (-7,-5)

as soon as I had a good range will add drawing