SOLUTION: Determine the slope and y-intercept of the line represented by the given equation. 5x - 7y = 35

Algebra ->  Graphs -> SOLUTION: Determine the slope and y-intercept of the line represented by the given equation. 5x - 7y = 35      Log On


   

Question 238644: Determine the slope and y-intercept of the line represented by the given equation.
5x - 7y = 35
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x-7y=35 Start with the given equation.


-7y=35-5x Subtract 5x from both sides.


-7y=-5x%2B35 Rearrange the terms.


y=%28-5x%2B35%29%2F%28-7%29 Divide both sides by -7 to isolate y.


y=%28%28-5%29%2F%28-7%29%29x%2B%2835%29%2F%28-7%29 Break up the fraction.


y=%285%2F7%29x-5 Reduce.


So the equation y=%285%2F7%29x-5 is now in slope intercept form y=mx%2Bb where the slope is m=5%2F7 and the y-intercept is b=-5 note: the y-intercept is the point