Question

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpointand y.)midpoint (-7.-21), endpoint (-13.-15)

Answer 1

Ok, we are going to use the midpoint formula

M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

(-7,-21)=((x1-13)/2 , (y1-15)/2 )

Break up this formula into two equations.

(x1-13)/2=-7 and (y1-15)/2=-21

Solve for x1 and y1 from the equations. So:

x1=(-7*2)+13

x1=(-14)+13=-1

y1=(-21*2)+15=(-42)+15=-27

So the other endpoint is (-1, -27).