SOLUTION: which is the slope of the line whose equation is 5x+6y=12? a)5/6 b)-5/6 c)6/5 d)-6/5

Algebra ->  Linear-equations -> SOLUTION: which is the slope of the line whose equation is 5x+6y=12? a)5/6 b)-5/6 c)6/5 d)-6/5       Log On


   

Question 277316: which is the slope of the line whose equation is 5x+6y=12?
a)5/6
b)-5/6
c)6/5
d)-6/5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%2B6y=12 Start with the given equation.


6y=12-5x Subtract 5x from both sides.


6y=-5x%2B12 Rearrange the terms.


y=%28-5x%2B12%29%2F%286%29 Divide both sides by 6 to isolate y.


y=%28%28-5%29%2F%286%29%29x%2B%2812%29%2F%286%29 Break up the fraction.


y=-%285%2F6%29x%2B2 Reduce.


So the equation y=-%285%2F6%29x%2B2 is now in slope intercept form y=mx%2Bb where the slope is m=-5%2F6 and the y-intercept is b=2 note: the y-intercept is the point