SOLUTION: I hope I chose the correct category for this problem: 5x-4y=8 , for y I Tried to solve and came up with y=-2-5x which doesn't seem right. I need step-by-step solution by 11/6/11

Algebra ->  Linear-equations -> SOLUTION: I hope I chose the correct category for this problem: 5x-4y=8 , for y I Tried to solve and came up with y=-2-5x which doesn't seem right. I need step-by-step solution by 11/6/11      Log On


   

Question 526681: I hope I chose the correct category for this problem:
5x-4y=8 , for y
I Tried to solve and came up with y=-2-5x which doesn't seem right.
I need step-by-step solution by 11/6/11 for homework assignment.
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x-4y=8 Start with the given equation.


-4y=8-5x Subtract 5x from both sides.


-4y=-5x%2B8 Rearrange the terms.


y=%28-5x%2B8%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=%28%28-5%29%2F%28-4%29%29x%2B%288%29%2F%28-4%29 Break up the fraction.


y=%285%2F4%29x-2 Reduce.


So the equation y=%285%2F4%29x-2 is now in slope intercept form y=mx%2Bb where the slope is m=5%2F4 and the y-intercept is b=-2 note: the y-intercept is the point