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)

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) (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=
Y

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

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