Question

Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the other end point.​

Answer 1

The coordinates of other point are: (5,1)

Explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

`M(x,y) = ((x_1+x_2)/(2), (y_1+y_2)/(2))`

Putting the values we get

`(2,4) = ((-1+x_2)/(2), (7+y_2)/(2))`

Putting respective elements equal

`(-1+x_2)/(2) = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\(7+y_2)/(2) = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1`

Hence,

The coordinates of other point are: (5,1)