document.write( "Question 90361: I have a huge test coming up. I need some clarity. how would you rewrite the equation 2x-3y = -6 as a fraction of x? Do you just solve for x? Please show me. Thank you in advance!! \n" ); document.write( "

Algebra.Com's Answer #65568 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think you mean to say \"rewrite the equation as a function of x\"\r
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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)

$\"2x-3y=-6\"$ Start with the given equation

$\"2x-3y-2x=-6-2x\"$ Subtract 2x from both sides

$\"-3y=-2x-6\"$ Simplify

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

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

$\"y+=+%282%2F3%29x%2B2\"$ Reduce and simplify

The original equation $\"2x-3y=-6\"$ (standard form) is equivalent to $\"y+=+%282%2F3%29x%2B2\"$ (slope-intercept form)

The equation $\"y+=+%282%2F3%29x%2B2\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=2%2F3\"$ is the slope and $\"b=2\"$ is the y intercept.

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