SOLUTION: 9x-5y=30 which is the slope and which is the y-intercept???????? help

Algebra ->  Graphs -> SOLUTION: 9x-5y=30 which is the slope and which is the y-intercept???????? help      Log On


   



Question 105476: 9x-5y=30 which is the slope and which is the y-intercept???????? help
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)


9x-5y=30 Start with the given equation


9x-5y-9x=30-9x Subtract 9x from both sides


-5y=-9x%2B30 Simplify


%28-5y%29%2F%28-5%29=%28-9x%2B30%29%2F%28-5%29 Divide both sides by -5 to isolate y


y+=+%28-9x%29%2F%28-5%29%2B%2830%29%2F%28-5%29 Break up the fraction on the right hand side


y+=+%289%2F5%29x-6 Reduce and simplify


The original equation 9x-5y=30 (standard form) is equivalent to y+=+%289%2F5%29x-6 (slope-intercept form)


The equation y+=+%289%2F5%29x-6 is in the form y=mx%2Bb where m=9%2F5 is the slope and b=-6 is the y intercept.