SOLUTION: Rewrite the linear equation 30x + 5y = 55 in the form y = mx + b . From the new equation, determine the slope and the y-intercept.

Algebra ->  Linear-equations -> SOLUTION: Rewrite the linear equation 30x + 5y = 55 in the form y = mx + b . From the new equation, determine the slope and the y-intercept.      Log On


   

Question 117438: Rewrite the linear equation 30x + 5y = 55 in the form y = mx + b . From the new equation, determine the slope and the y-intercept.
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)


30x%2B5y=55 Start with the given equation


30x%2B5y-30x=55-30x Subtract 30x from both sides


5y=-30x%2B55 Simplify


%285y%29%2F%285%29=%28-30x%2B55%29%2F%285%29 Divide both sides by 5 to isolate y


y+=+%28-30x%29%2F%285%29%2B%2855%29%2F%285%29 Break up the fraction on the right hand side


y+=+-6x%2B11 Reduce and simplify


The original equation 30x%2B5y=55 (standard form) is equivalent to y+=+-6x%2B11 (slope-intercept form)


The equation y+=+-6x%2B11 is in the form y=mx%2Bb where m=-6 is the slope and b=11 is the y intercept.