Question

Can anyone give a piece of advice of how determine distance between two points, midpoint coordinates, and coordinates of the point that divides a segment in a given reason?

Answer 1

m=y2-y1 over x2-x1

Answer 2

Is this useful for rectangular coordinates?

Answer 3

i dont know i think this is for straight lines

Answer 4

oh its to find the midpoint

Answer 5

Yes, I'll post an example

Answer 6

If a segment is comprised by the point P1-(2, 0) and P2(8, 5), I need to find the coordinates of te points which divide the segment by the given reasons of r=2/3, r=3/2 and r= -2/3

Answer 7

yeah im not their yet thats next class lol

Answer 8

Don't worry, thanks

Answer 9

Okay so, there are 2 points.
P1=(2,0)
P2=(8,5)
So let us take,
x1=2, y1=0
x2=8, y2=5
We need to find the (x,y) coordinates for which the line segment is divided in ratios of
a) 2/3
b) 3/2
c) -2/3
There exists a rule to solve the problem which says,
m:n = (mx2 + nx1/m+n, my2+ ny1/m+n)
Substituting the values of m=2 and n=3 for (a), we get-
2(8) + 3(2)/2+3 = 16+6/5 = 18/5 and,
Substituting the values of m=2 and n=3 for the y-coordinate:
2(5)+3(0)/2+3 = 10+0/5 = 2.
So the first set of coordinates which divide the segment in the ratio 2:3 is (18/5, 2).
Similarly, for the ratio of 3:2 we apply the formula which says:
3(8) + 2(2)/2+3 = 28/5
and, 3(5) + 3(0)/2+3 = 15/5 = 3
So the coordinates are (28/5, 3)
Finally, for the ratio of -2:3
-2(8)+3(2)/3-2 = -16+6/1 = -10
and, -2(5)+3(0)/3-2 = -10/1 = -10
So the coordinates are (-10,-10) which divide the line segment in the ratio of m=-2/3.
Basically you just use the Section formula and substitute the values for them, hope this helps!

Answer 10

Thanks

Answer 11

You're welcome! I hope you're clear with the question now :)

Answer 12

Of course, :D

Answer 13

Would you classify mine as a good answer then? xD

Answer 14

Totally