SOLUTION: 3x+5y+10=0 Find slope and y-intercept.

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Question 91228: 3x+5y+10=0 Find slope and y-intercept.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B5y%2B10=0

3x%2B5y=-10 Subtract 10 from both sides

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=-10 Start with the given equation


3x%2B5y-3x=-10-3x Subtract 3x from both sides


5y=-3x-10 Simplify


%285y%29%2F%285%29=%28-3x-10%29%2F%285%29 Divide both sides by 5 to isolate y


y+=+%28-3x%29%2F%285%29%2B%28-10%29%2F%285%29 Break up the fraction on the right hand side


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


The original equation 3x%2B5y=-10 (standard form) is equivalent to y+=+%28-3%2F5%29x-2 (slope-intercept form)


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