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

Algebra ->  Length-and-distance -> SOLUTION: Find the two trisection points of the line segment joining A(-3,-4) and B (6,11)      Log On


   

Question 1004800: Find the two trisection points of the line segment joining A(-3,-4) and B (6,11)
Answer by josmiceli(19441) About Me  (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:
+x%5BB%5D+-+x%5BA%5D+=+6+-%28-3%29+
+x%5BB%5D+-+x%5BA%5D+=+9+
--------------------
Take 1/3 of this:
+9%2F3+=+3+
------------
Add this to +x%5BA%5D+
+-3+%2B+3+=+0+
---------------------
Find the y-coordinate of the point 1/3
of the way from A to B
---------------------
Take the difference:
+y%5BB%5D+-+y%5BA%5D+=+11+-%28-4%29+
+y%5BB%5D+-+y%5BA%5D+=+15+
-------------------
Take 1/3 of this:
+15%2F3+=+5+
--------------
Add this to +y%5BA%5D+
+-4+%2B+5+=+1+
-------------------
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:
+%28+6%2B0+%29+%2F+2+=+3+
and
y-coordinate:
+%28+11+%2B+1+%29+%2F+2+=+6+
--------------------
The points are:
( 0,1 ) and ( 3,6 )
You can draw this to check