SOLUTION: What is the equation of the line which passes through C and is parallel to line AB, given A(5,2)B(-1,4) and C(6,-5)?

Algebra ->  Graphs -> SOLUTION: What is the equation of the line which passes through C and is parallel to line AB, given A(5,2)B(-1,4) and C(6,-5)?      Log On


   

Question 943940: What is the equation of the line which passes through C and is parallel to line AB, given A(5,2)B(-1,4) and C(6,-5)?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
SLOPE OF AB LINE
%282-4%29%2F%285-%28-1%29%29
-2%2F6
-1%2F3

The requested line being parallel to AB will also have slope -1%2F3.


POINT-SLOPE EQUATION CONTAINING POINT C
y-%28-5%29=-1%2F3%28x-6%29
simplify
y%2B5=-x%2F3%2B1%2F18
and you can put the form into what you want.
y=-x%2F3%2B1%2F18-5
3y=-x%2B1%2F6-15
3y%2Bx=1%2F6-15
18y%2B6x=1-30
highlight%286x%2B18y=-29%29 as standard form.