SOLUTION: I know how to find the slope of a line but I am stuck with this equation: 2x-9y=3 Your help would be greatly appreciated. Thank you - Lori

Algebra ->  Linear-equations -> SOLUTION: I know how to find the slope of a line but I am stuck with this equation: 2x-9y=3 Your help would be greatly appreciated. Thank you - Lori      Log On


   

Question 202465: I know how to find the slope of a line but I am stuck with this equation:
2x-9y=3
Your help would be greatly appreciated.
Thank you - Lori
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x-9y=3 Start with the given equation.


-9y=3-2x Subtract 2x from both sides.


-9y=-2x%2B3 Rearrange the terms.


y=%28-2x%2B3%29%2F%28-9%29 Divide both sides by -9 to isolate y.


y=%28%28-2%29%2F%28-9%29%29x%2B%283%29%2F%28-9%29 Break up the fraction.


y=%282%2F9%29x-1%2F3 Reduce.


So the equation y=%282%2F9%29x-1%2F3 is now in slope intercept form y=mx%2Bb where the slope is m=2%2F9 and the y-intercept is b=-1%2F3 note: the y-intercept is the point