SOLUTION: What are the coordinates of the point on the directed line segment from K(-7,4) to L(8,1) that partitions the segment into a ratio of 3 to 2? A. (3,2) B. (2,-1) C. (0,-3/2) D

Algebra ->  Length-and-distance -> SOLUTION: What are the coordinates of the point on the directed line segment from K(-7,4) to L(8,1) that partitions the segment into a ratio of 3 to 2? A. (3,2) B. (2,-1) C. (0,-3/2) D      Log On


   

Question 971194: What are the coordinates of the point on the directed line segment from K(-7,4) to L(8,1) that partitions the segment into a ratio of 3 to 2?
A. (3,2)
B. (2,-1)
C. (0,-3/2)
D. (-1,-2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So one length would be 3x and the other 2x for a total length of 5x.
So from K the distance would be 3/5 of the total.
The x distance from K to L is,
8-%28-7%29=15
So from K to the point, P, is,
P%5Bx%5D=-7%2B%283%2F5%29%2815%29=-7%2B9=2
The y distance from K to L is,
1-4=-3
So from K to the point, P,
P%5By%5D=4%2B%28-3%29%283%2F5%29=4-9%2F5=20%2F5-9%2F5=11%2F5
The point P is (2,11%2F5), which is not one of the choices.