SOLUTION: Find the slope if it exists. x+3y=6 m= ___

Algebra ->  Equations -> SOLUTION: Find the slope if it exists. x+3y=6 m= ___      Log On


   

Question 158290: Find the slope if it exists.
x+3y=6
m= ___
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B3y=6 Start with the given equation.


3y=6-x Subtract x from both sides.


3y=-x%2B6 Rearrange the terms.


y=%28-x%2B6%29%2F%283%29 Divide both sides by 3 to isolate y.


y=%28%28-1%29%2F%283%29%29x%2B%286%29%2F%283%29 Break up the fraction.


y=-%281%2F3%29x%2B2 Reduce.


So the equation y=-%281%2F3%29x%2B2 is now in slope intercept form y=mx%2Bb where the slope is m=-1%2F3 and the y-intercept is b=2 note: the y-intercept is the point