SOLUTION: Find the slope, if it exists. 6x-5y=10

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Question 217642: Find the slope, if it exists.
6x-5y=10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

6x-5y=10 Start with the given equation.


-5y=10-6x Subtract 6x from both sides.


-5y=-6x%2B10 Rearrange the terms.


y=%28-6x%2B10%29%2F%28-5%29 Divide both sides by -5 to isolate y.


y=%28%28-6%29%2F%28-5%29%29x%2B%2810%29%2F%28-5%29 Break up the fraction.


y=%286%2F5%29x-2 Reduce.


So the equation y=%286%2F5%29x-2 is now in slope intercept form y=mx%2Bb where the slope is m=6%2F5 and the y-intercept is b=-2 note: the y-intercept is the point