do you know how to do midpoints

Question

On my homework its asking me to find the coordinate of B and they gave me the coordinate for the midpoint and A

Answer 1

So Jessi,

What do you think the midpoint means? It means, that you started at A and went halfway towards B IN THE DIRECTION B LIES IN. So, how do you find the *displacement* from A to the midpoint? It's ALWAYS final minus initial (for each of x and y). So let's say for example that A = (2,-2) and midpoint = (23,65). Then the displacement was ((23-2),(65-(-2)) = (21,67). Note that the displacement LOOKS like a Cartesian point -- but, it's really an instruction to move 21 in x and 67 in y. If you HAD started at the origin, you'd end up at the point (21,67); but you didn't start at the origin. You started at (2,-2). But right now, you're at that midpoint: (23,65). You therefore CONTINUE to move another jump of (21,67) -- that's the other half of the segment -- , and you end up at ((23+21),(65+67)) or (44,132).

OK?