Question

Find the endpoint:

The midpoint of CD is M = (-3, -6), one endpoint is C = (-1, -4). Find the other endpoint, D

Answer 1

The coordinates of Point D are: (-5,-8)

Explanation:

The formula for mid-point is given by:

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

For the point (x1,y1) and (x2,y2)

Given that

M = (-3, -6)

C = (-1, -4) => (x1,y1)

Putting the values of given points in the formula for mid-point

`(-3,-6) = ((-1+x_2)/(2) , (-4+y_2)/(2))`

Putting respective coordinates equal

`-3 = (-1+x_2)/(2)\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = (-4+y_2)/(2)\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8`

Hence,

The coordinates of Point D are: (-5,-8)