document.write( "Question 109133: I am lost. can you help me.\r
\n" ); document.write( "\n" ); document.write( "Rewrite the equation 2x – 9y = –72 as a function of x\r
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Algebra.Com's Answer #79577 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)

$\"2x-9y=-72\"$ Start with the given equation

$\"2x-9y-2x=-72-2x\"$ Subtract 2x from both sides

$\"-9y=-2x-72\"$ Simplify

$\"%28-9y%29%2F%28-9%29=%28-2x-72%29%2F%28-9%29\"$ Divide both sides by -9 to isolate y

$\"y+=+%28-2x%29%2F%28-9%29%2B%28-72%29%2F%28-9%29\"$ Break up the fraction on the right hand side

$\"y+=+%282%2F9%29x%2B8\"$ Reduce and simplify

The original equation $\"2x-9y=-72\"$ (standard form) is equivalent to $\"y+=+%282%2F9%29x%2B8\"$ (slope-intercept form)

The equation $\"y+=+%282%2F9%29x%2B8\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=2%2F9\"$ is the slope and $\"b=8\"$ is the y intercept.

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