SOLUTION: find the coordinates of the point which divides the line segment from (-1,4) to (2,-3) in to ratio of 3 to 4 (two solutions)

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Question 1008389: find the coordinates of the point which divides the line segment from (-1,4) to (2,-3) in to ratio of 3 to 4 (two solutions)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the points be (x1,y1) and (x2,y2)


Here
x1= -1
x2= 2
y1= 4
= -3
ratio of division
m= 3
n= 4

The the coordinates the point which divides the two points in the ration of m:n is given by

x= %28mx1%2Bnx2%29%2F%28m%2Bn%29
Y %28my2%2Bny1%29%2F%28m%2Bn%29


plug thevalues

x=( 3 * 2 + 4 * 2 )( 3 + 4 )
x=( 6 + 8 )( 7 )
x=( 14 / 7
x= 2


y=( 3 * -3 + 4 * 4 )( 3 + 4 )
y=( -9 + 16 )( 7 )
y=( 7 / 7
y=( 1

The co ordinates are x= 2 ,y= 1

Now plug m=4 and n=3 to get other solution
m.ananth@hotmail.ca