SOLUTION: Find the ratio in which the line x+y=2 divides the line formed by the coordinates (-1,1) and (6,8).
Please show me the working too.
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Question 896694: Find the ratio in which the line x+y=2 divides the line formed by the coordinates (-1,1) and (6,8).
Please show me the working too.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Find equation:
(-1,1) and (6,8)
--------------------
-----------------
Subtract
and
-----------------
The equation is:
---------------
The given equation is:
-----------------
Find the intersection of the lines
--------------
and
The intersection is: ( 0,2 )
-------------------------
Name: C (0,2)
Name: A (-1,1 )
Name B (6,8)
---------------
For just the x-co-ordinates:
AC/CB =
AC/CB =
AC/CB =
-------------------
For the y-co-ordinates:
AC/CB =
AC/CB =
AC/CB =
-------------------
The given line is divided in x and y
by the same ratio ( as it should ), so
the line is divided in the ratio 1/6
------------------------------
Here's the plot of the lines:
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