SOLUTION: Put the following equations into y = mx + b form: a) 6y – 3x = –2

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Question 115277: Put the following equations into y = mx + b form:
a) 6y – 3x = –2

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-3y=-2 Start with the given equation


6x-3y-6x=-2-6x Subtract 6x from both sides


-3y=-6x-2 Simplify


%28-3y%29%2F%28-3%29=%28-6x-2%29%2F%28-3%29 Divide both sides by -3 to isolate y


y+=+%28-6x%29%2F%28-3%29%2B%28-2%29%2F%28-3%29 Break up the fraction on the right hand side


y+=+2x%2B2%2F3 Reduce and simplify


The original equation 6x-3y=-2 (standard form) is equivalent to y+=+2x%2B2%2F3 (slope-intercept form)


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