Question

How do I find the endpoint of a segment?
I'm trying to follow an example that goes:
A (-5,7) B (x2, y2) M(-2,2) Find the coordinates of B.
-5+x2/2, 7+y2/2 = (-2,2) are the coordinates of B.
My question is, how does
-5+x2/2 = -2 and 7/y2 = 2??

Answer 1

area A and M the endpoints?

Answer 2

*are A and M ....

Answer 3

@amistre64 No, A is the midpoint and M is one of the endpoints

Answer 4

if A is the middle, the A is also the average of the end points ... does that make sense?

Answer 5

do you know how to find an average?

Answer 6

it appears from the information given , that A and B are endpoints, and M is the middle point between them to me

Answer 7

@amistre64 you're right, A and B are the endpoints. Sorry about that! And no, I don't know how to find an average. I'm trying to help my little sister out with her math but I can't remember very much from Geometry here :/

Answer 8

heres a long version that we can work into a formula:

spose we start at point: A

we need to find the distance (the difference) between A and B, the endpoints: B-A

now half the distance is just (B-A)/2 and we can just add the to the start of it:

A + (B-A)/2

now we can manipulate this into

(2A + B - A) /2

(A + B) /2

Answer 9

half way between 2 points, is simply the sum of the points, divided in half

Answer 10

spose we have the points 3 and 15

(3+15)/2 = 18/2 = 9

9 is halfway between 2 and 15

Answer 11

A (-5,7) B (x2, y2) M(-2,2)

midpoint is halfway between the xs, ad halfway between the ys

(ax + bx)/2 = mx
(-5+bx)/2 = -2, solve for bx

(ay + by)/2 = my
(7 + by)/2 = 2, solve for by

Answer 12

@amistre64 So,
(-5 + bx)/2 = -2 is where I get confused because I get
(-5 + bx)/2 = -5/2. Clearly that isn't right. How did you get -2?

Answer 13

-2 is already stated as the x part of the point M: M = (-2,2)

therefore the middle between A and B for the x parts has the value of -2

Answer 14

(-5 + bx)/2 = -2

multiply both sides by 2

-5 + bx = -2(2)

now add 5 to both sides

bx = -2(2) + 5

Answer 15

@amistre64 ok this is making more sense to me now lol
I really appreciate you helping me to understand this!

Answer 16

youre welcome