SOLUTION: Find the slope and y-intercept. -4x + 5y = 25

Algebra ->  Linear-equations -> SOLUTION: Find the slope and y-intercept. -4x + 5y = 25      Log On


   

Question 119501: Find the slope and y-intercept.
-4x + 5y = 25
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)


-4x%2B5y=25 Start with the given equation


-4x%2B5y%2B4x=25%2B4x Add 4x to both sides


5y=4x%2B25 Simplify


%285y%29%2F%285%29=%284x%2B25%29%2F%285%29 Divide both sides by 5 to isolate y


y+=+%284x%29%2F%285%29%2B%2825%29%2F%285%29 Break up the fraction on the right hand side


y+=+%284%2F5%29x%2B5 Reduce and simplify


The original equation -4x%2B5y=25 (standard form) is equivalent to y+=+%284%2F5%29x%2B5 (slope-intercept form)


The equation y+=+%284%2F5%29x%2B5 is in the form y=mx%2Bb where m=4%2F5 is the slope and b=5 is the y intercept.