One endpoint of a line segment is (8, −1). The point (5, −2) is one-third of the way from that endpoint to the other endpoint. Find the other endpoint.
(8,-1), (5,-2), (x,y)
5-8 = 1/3(x-8)
-9 = x-8
X = -1
-2-(-1)) = 1/3(y-(-1))
-1 = 1/3(y+1)
-3 = y+1
Y = -4
(-1, -4)
The correct answer is (-1,-4)
So, what's the answer? (3.5, -2.5) or (-1, -4)??
(-1,-4)
all you have to do is go down one and over three three times because if (5, -2) is one third u just count how many down and over it is until you have done it three times. i got this problem in math today and i did it this way and got it correct. sry if i’m kinda repetitive in my explanation but i think i got the point across.
How did you solve it?
We have a formula for n pieces
X=×1+(n-1)×2/n
In this question : 5=x+(8*2)/3 n=3 we have 3 parts
×=-1
-2=y+(-1*2)/3 y=4
If we replace the first x and y with 8 and -1 we can reach to 3.5 and -2.5 which it means one of the points is from the end and the other point is from the start point. Both answers are correct.
21,5
(8,-1), (5,-2), (x,y)
x-5 = 1/3(x-8)
3x-15 = x-8
2x = 7
X = 3.5
y-(-2) = 1/3(y-(-1))
y+2 = 1/3(y+1)
3y+6 = y+1
2y = -5
Y = -2.5