SOLUTION: how to determine the slope and y-intercept of 2x+3y=6

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Question 85847: how to determine the slope and y-intercept of 2x+3y=6
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)


2x%2B3y=6 Start with the given equation


2x%2B3y-2x=6-2x Subtract 2x from both sides


3y=-2x%2B6 Simplify


%283y%29%2F%283%29=%28-2x%2B6%29%2F%283%29 Divide both sides by 3 to isolate y


y+=+%28-2x%29%2F%283%29%2B%286%29%2F%283%29 Break up the fraction on the right hand side


y+=+%28-2%2F3%29x%2B2 Reduce and simplify


The original equation 2x%2B3y=6 (standard form) is equivalent to y+=+%28-2%2F3%29x%2B2 (slope-intercept form)


The equation y+=+%28-2%2F3%29x%2B2 is in the form y=mx%2Bb where m=-2%2F3 is the slope and b=2 is the y intercept.