Two end points of a line segment are (-12, -2) and (-6, -10).
What are the coordinates of the point on the line through which its bisector passes?

Question

Two end points of a line segment are (-12, -2) and (-6, -10). 
What are the coordinates of the point on the line through which its bisector passes?

accessdenied · Answer

What would be the actual name of the point that the bisector must pass through?

Recall that the bisector divides a segment into two congruent segments, that should help.

anonymous · Answer

i tried using the midpoint formula but came out to a wrong answer (-3,4)

accessdenied · Answer

Hm, I think you may have messed up somewhere using the midpoint formula...
$$ M\left( \frac{x_1 + x_2}{2} , \ \frac{y_1 + y_2}{2} \right) $$

It seems like you may have subtracted instead of adding.

anonymous · Answer

after that, i got to -6/2 , 8/2. No?

accessdenied · Answer

-12 + (-6) = -12 - 6 = -18

anonymous · Answer

Ohh alright. I see the problem now.

accessdenied · Answer

Ah, okay.  :)
 (-18/2, -12/2), or (-9, -6) is where I end up.

anonymous · Answer

Yeah i get that now haha. thank you!

accessdenied · Answer

You're welcome.  :)