document.write( "Question 115277: Put the following equations into y = mx + b form:
\n" ); document.write( " a) 6y – 3x = –2
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Algebra.Com's Answer #83846 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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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.


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