SOLUTION: Given an equation of a line in the Ax + By = C by solving for y, Use this information to find the slope of each line by inspection. 3x+5y = 9

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Question 102815This question is from textbook Intermediate Algebra
: Given an equation of a line in the Ax + By = C by solving for y, Use this information to find the slope of each line by inspection.
3x+5y = 9
 This question is from textbook Intermediate Algebra

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)


3x%2B5y=9 Start with the given equation


3x%2B5y-3x=9-3x Subtract 3x from both sides


5y=-3x%2B9 Simplify


%285y%29%2F%285%29=%28-3x%2B9%29%2F%285%29 Divide both sides by 5 to isolate y


y+=+%28-3x%29%2F%285%29%2B%289%29%2F%285%29 Break up the fraction on the right hand side


y+=+%28-3%2F5%29x%2B9%2F5 Reduce and simplify


The original equation 3x%2B5y=9 (standard form) is equivalent to y+=+%28-3%2F5%29x%2B9%2F5 (slope-intercept form)


The equation y+=+%28-3%2F5%29x%2B9%2F5 is in the form y=mx%2Bb where m=-3%2F5 is the slope and b=9%2F5 is the y intercept.