SOLUTION: Find the two trisection points of the line segment joining A(-3,-4) and B (6,11)

Algebra.Com
Question 1004800: Find the two trisection points of the line segment joining A(-3,-4) and B (6,11)
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
First find the x-coordinate of the point 1/3
of the way from A to B
-------------------
Take the difference:


--------------------
Take 1/3 of this:

------------
Add this to

---------------------
Find the y-coordinate of the point 1/3
of the way from A to B
---------------------
Take the difference:


-------------------
Take 1/3 of this:

--------------
Add this to

-------------------
The point 1/3
of the way from A to B is: ( 0,1 )
---------------------------
Now you can use the fact that the 2/3 point
is midway between this point and B
x-coordinate:

and
y-coordinate:

--------------------
The points are:
( 0,1 ) and ( 3,6 )
You can draw this to check

RELATED QUESTIONS

Find the two-trisection points of the line segment joining A (-3,-4) & B... (answered by MathLover1)
Find the trisection points of the line segment joining (-6,2) and... (answered by greenestamps,josmiceli)
This is about division of line segment. Q: Line Segment AB where A(-4,-3) and B(7,1) is... (answered by Fombitz)
find the trisection points of the line joining (-6,2) and... (answered by josgarithmetic)
Find the midpoint M of the line segment joining the points S=(0,8) and T=(-6,-4) (answered by Cromlix)
Find the midpoint of the line segment joining the points P1 and P2. P1 = (-1, 6); P2 =... (answered by Alan3354,stanbon)
find the leangth of the line segment joining the following pairs of points:... (answered by mananth)
Find the equation for the right bisector of the line segment joining the points A(1,1)... (answered by stanbon,ashwanidahiya)
how to find the midpoint M of the line segment joining the points A=(1,3) and... (answered by Alan3354)