document.write( "Question 91394: rewrite each equation as a function of x.
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Algebra.Com's Answer #66355 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)

$\"-3x%2B4y=11\"$ Start with the given equation

$\"-3x%2B4y%2B3x=11%2B3x\"$ Add 3x to both sides

$\"4y=3x%2B11\"$ Simplify

$\"%284y%29%2F%284%29=%283x%2B11%29%2F%284%29\"$ Divide both sides by 4 to isolate y

$\"y+=+%283x%29%2F%284%29%2B%2811%29%2F%284%29\"$ Break up the fraction on the right hand side

$\"y+=+%283%2F4%29x%2B11%2F4\"$ Reduce and simplify

The original equation $\"-3x%2B4y=11\"$ (standard form) is equivalent to $\"y+=+%283%2F4%29x%2B11%2F4\"$ (slope-intercept form)

The equation $\"y+=+%283%2F4%29x%2B11%2F4\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=3%2F4\"$ is the slope and $\"b=11%2F4\"$ is the y intercept.

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