Help please asap
find the other endpoint of the line segment ab, if the midpoint is (-8, 8) and one of the endpoints is (-2, -20).
a-(-14, 36)
b-(-5, -6)
c-(14, 36)
d-(18, -4)

Respuesta :

Answer:

(-14,36)

Step-by-step explanation:

We know the midpoint, so we can substitute for that. The formula for midpoint is (x1+x2)/2 ; (y1+y2)/2 =(Midpoint). We can make the equation:

(-2+x)/2=-8      and      (-20+x)/2=8

To get rid of the division, multiply both sides by 2, and you get:

-2+x=-16          and       -20+x=16

Isolate x:

-2+x=-16           and           -20+x=16

+2      +2                            +20     +20

__      __                            ___      ___

0         -14                             0          36

So, you end up with (-14,36)

Hope this helped!