document.write( "Question 111776: Rewrite the equation –8x – 5y = –45 as a function of x.\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #81548 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

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)

$\"-8x-5y=-45\"$ Start with the given equation

$\"-8x-5y%2B8x=-45%2B8x\"$ Add 8x to both sides

$\"-5y=8x-45\"$ Simplify

$\"%28-5y%29%2F%28-5%29=%288x-45%29%2F%28-5%29\"$ Divide both sides by -5 to isolate y

$\"y+=+%288x%29%2F%28-5%29%2B%28-45%29%2F%28-5%29\"$ Break up the fraction on the right hand side

$\"y+=+%28-8%2F5%29x%2B9\"$ Reduce and simplify

The original equation $\"-8x-5y=-45\"$ (standard form) is equivalent to $\"y+=+%28-8%2F5%29x%2B9\"$ (slope-intercept form)

The equation $\"y+=+%28-8%2F5%29x%2B9\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=-8%2F5\"$ is the slope and $\"b=9\"$ is the y intercept.

\n" ); document.write( " \n" ); document.write( "

\n" );