document.write( "Question 92966: Rewrite the equation –7x + 8y = –40 as a function of x. \n" ); document.write( "

Algebra.Com's Answer #67655 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)

$\"-7x%2B8y=-40\"$ Start with the given equation

$\"-7x%2B8y%2B7x=-40%2B7x\"$ Add 7x to both sides

$\"8y=7x-40\"$ Simplify

$\"%288y%29%2F%288%29=%287x-40%29%2F%288%29\"$ Divide both sides by 8 to isolate y

$\"y+=+%287x%29%2F%288%29%2B%28-40%29%2F%288%29\"$ Break up the fraction on the right hand side

$\"y+=+%287%2F8%29x-5\"$ Reduce and simplify

The original equation $\"-7x%2B8y=-40\"$ (standard form) is equivalent to $\"y+=+%287%2F8%29x-5\"$ (slope-intercept form)

The equation $\"y+=+%287%2F8%29x-5\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=7%2F8\"$ is the slope and $\"b=-5\"$ is the y intercept.

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

\n" );