SOLUTION: Find the slope and y-intercept. 5x – 7y = 70

Algebra ->  Graphs -> SOLUTION: Find the slope and y-intercept. 5x – 7y = 70       Log On


   

Question 92950: Find the slope and y-intercept.
5x – 7y = 70
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


5x-7y=70 Start with the given equation


5x-7y-5x=70-5x Subtract 5x from both sides


-7y=-5x%2B70 Simplify


%28-7y%29%2F%28-7%29=%28-5x%2B70%29%2F%28-7%29 Divide both sides by -7 to isolate y


y+=+%28-5x%29%2F%28-7%29%2B%2870%29%2F%28-7%29 Break up the fraction on the right hand side


y+=+%285%2F7%29x-10 Reduce and simplify


The original equation 5x-7y=70 (standard form) is equivalent to y+=+%285%2F7%29x-10 (slope-intercept form)


The equation y+=+%285%2F7%29x-10 is in the form y=mx%2Bb where m=5%2F7 is the slope and b=-10 is the y intercept.