Question

If M(1, 1) is the midpoint of the line segment AB, and if A has coordinates (−2, −4), find the coordinates of B.

Answer 1

Ok, so you probably know that the midpoint formula is ((x1+x2)/2,(y1+y2)/2)).
Assume A is (x1,x2) and you also know that M(1,1) is equal to the resultant x and y values of the midpoint formula. try it and post your answer. I'll check it. Also, if you need more help just ask.

Answer 2

Yes ;
So far i have that
1=(-2+x^2) and 1=(-4+y^2)
I am just confused on where to go from there.... ?

Assuming that if M(m1,m2) is midpoint of two point being A(x1,y1) and B(x2,y2)
then M1=(x1+x2)/2 and M2=(y1+y2)/2
....
i hope that didnt confuse you?

Answer 3

ok, so you have a good start.

However, 1 = (-2+x2)/2 AND 1 = (-4+y2)/2

Answer 4

yes... but im not sure how to move on past this? i belive i am trying to get the x2 and y2 on the other side of the = sign alone correct?

Answer 5

yes.

i'll solve the x2 and you can solve the y2 part

1= (-2+x2)/2
1*2 = (-2+x2)
2 = (-2+x2)
2+2 = x2
x2 = 4 // i just flipped x2 to the left side for aesthetics.

Answer 6

y2=6 ??

Answer 7

that is correct. nice job.

Answer 8

THANK YOU :) life saver lol :) i totally had like a brain fart but once i saw what you did i knew exactly what i was missing:)

Answer 9

nice to hear.