Question

Does anyone know the formula for dividing a segment into a given ratio?

Answer 1

Do you have an example we can work through so you can see the process?

Answer 2

you can always create a formula ...

Answer 3

difference, divded by the number of partitions, and add back to an endpoint

Answer 4

Example: End points of the segment: point A(1,2), and point B (6,7). Divided in a 2:3 ratio

Answer 5

Explain What you just said? @amistre64

Answer 6

what the distance between our xs?

Answer 7

5

Answer 8

we have some distance between 2 points: a and b

d = b-a

we want to define a point such that a to b has n parts to the left and m parts to the right for a ratio of .. n:m, a total of m+n parts are needed

d/(m+n) is equal to 1 part.

now starting at say a, we add n parts

a + nd/(m+n) gets our desired spot.

Answer 9

a distnace of 5

and we need to divide up int 2+3 parts right?

Answer 10

or using the formula we just created

x = 1 + 2(5)/(2+3)

same concept for the y parts

Answer 11

Where did the 1 come from

Answer 12

Oh it is the first coordinate in A

Answer 13

I understand