SOLUTION: Write the equation of the line with a slope of -1/3 and passing through the point (6, -4).

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line with a slope of -1/3 and passing through the point (6, -4).      Log On


   

Question 322793: Write the equation of the line with a slope of -1/3 and passing through the point (6, -4).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We're given that has " a slope of -1/3", so m=-1%2F3. In addition, we're told that the line passes " through the point (6, -4)" which means that x=6 and y=-4


y=mx%2Bb Start with the general slope intercept equation.


-4=-%281%2F3%29%286%29%2Bb Plug in m=-1%2F3, x=6 and y=-4


-4=-2%2Bb Multiply -1%2F3 and 6 to get -6%2F3=-2


-4%2B2=b Add 2 to both sides.


-2=b Combine like terms.


So b=-2 which means that the equation of the line is y=-%281%2F3%29x-2