SOLUTION: find the slope and yintercept of the line 6x+2y=-36

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Question 118898: find the slope and yintercept of the line 6x+2y=-36
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)


6x%2B2y=-36 Start with the given equation


6x%2B2y-6x=-36-6x Subtract 6x from both sides


2y=-6x-36 Simplify


%282y%29%2F%282%29=%28-6x-36%29%2F%282%29 Divide both sides by 2 to isolate y


y+=+%28-6x%29%2F%282%29%2B%28-36%29%2F%282%29 Break up the fraction on the right hand side


y+=+-3x-18 Reduce and simplify


The original equation 6x%2B2y=-36 (standard form) is equivalent to y+=+-3x-18 (slope-intercept form)


The equation y+=+-3x-18 is in the form y=mx%2Bb where m=-3 is the slope and b=-18 is the y intercept.