SOLUTION: This is about division of line segment. Q: Line Segment AB where A(-4,-3) and B(7,1) is trisected. Find the points of trisection. Thank you

Algebra ->  Points-lines-and-rays -> SOLUTION: This is about division of line segment. Q: Line Segment AB where A(-4,-3) and B(7,1) is trisected. Find the points of trisection. Thank you      Log On


   

Question 986609: This is about division of line segment.
Q: Line Segment AB where A(-4,-3) and B(7,1) is trisected. Find the points of trisection.
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In the x direction, the distance from A to B is,
d%5Bx%5D=7-%28-4%29=11
Divide that in 3 for 3 equal steps from A to B.
x%5B1%5D=-4%2B11%2F3=-12%2F3%2B11%2F3=-1%2F3
x%5B2%5D=-1%2F3%2B11%2F3=10%2F3
Similarly for the y direction,
d%5By%5D=1-%28-3%29=4
y%5B1%5D=-3%2B4%2F3=-9%2F3%2B4%2F3=-5%2F3
y%5B2%5D=-5%2F3%2B4%2F3=-1%2F3
So the two points are (-1%2F3,-5%2F3) and (10%2F3,-1%2F3).
.
.
.