i have the coordinate of the initial point and i have the coordinate of the mid point, how do i find the end point. heres the coordinates (2,6) and (-1,1), whats the nd line coordinate? there is a formula for this i just can't find it in my notes, plz help me out..
2007-01-28 05:07:18 · 8 answers · asked by jon f 4 in Science & Mathematics ➔ Mathematics
i'm not sure which is which but i assume that (2,6) is the endpoint and (-1,1) is the midpoint
formula for midpoint is ((x2+21)/2) ,(y2+y1)/2)
the x-cordinate of the midpoint
-1= (2+x1) / 2
-2 = 2+x1
x1= -4
now take the y-cordinate of the midpoint
1= (6+y1) / 2
2=6+y1
y1= -4
the other endpoint is (-4,-4)
2007-01-28 05:14:05 · answer #1 · answered by 7 · 1⤊ 0⤋
You can use midpoint theorem.
Let the coordinates of the end point be (x,y).
(x+2)/2=-2
x=-6
(y+6)/2=1
y=-4
(-6,-4) is the coordinates of the end point.
2007-01-28 05:13:05 · answer #2 · answered by sahsjing 7 · 0⤊ 0⤋
Which one is your midpoint?
Anyway...let's do this first....
Take the X value of the two points and find the difference between them:
x1 - x2
2 - (-1) = 3
Take the Y value of the two points and find the difference between them:
y1 - y2
6 - 1 = 5
If (2,6) is your midpoint then the other end point is (5,11)
If (-1,1) is your midpoint, then the other end point is (-4,-4)
Later, I may edit this and give you the formula....
...
Ok, it's later now.. and here's the formula - you can check my work. :)
M = midpoint
M(x,y)=(1/2(x1+x2),(1/2(y1+y2))
2007-01-28 05:24:20 · answer #3 · answered by James K 2 · 0⤊ 0⤋
i cant remember the formula but i can tell you the answer is (-4,-4). the x coordinate reduces by three at the midpoint and must reduce a further 3 at the end point. the y reduces five and must reduce another five
2007-01-28 05:17:13 · answer #4 · answered by Gillotine 2 · 0⤊ 0⤋
The end point is the same distance from the midpoint as the initial point is from the midpoint, only in the opposite direction.
e-------m-------i
em = mi
2007-01-28 05:12:58 · answer #5 · answered by davidosterberg1 6 · 0⤊ 0⤋
use the midpoint formula with algebraic unknowns
2007-01-28 05:10:47 · answer #6 · answered by Anonymous · 0⤊ 0⤋
You must be further along than my class is, because we haven't learned that yet. (Sorry I know this doesn't help any.)
2007-01-28 05:10:07 · answer #7 · answered by Me 1 · 0⤊ 0⤋
y sub 2 - y sub 1
_____________
x sub 2 - x sub 1
I think that's it... plug your number in.. and you should get the slope
2007-01-28 05:11:16 · answer #8 · answered by Luckystar25 3 · 0⤊ 0⤋