document.write( "Question 102815This question is from textbook Intermediate Algebra
\n" ); document.write( ": Given an equation of a line in the Ax + By = C by solving for y, Use this information to find the slope of each line by inspection.\r
\n" ); document.write( "\n" ); document.write( "3x+5y = 9
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Algebra.Com's Answer #74788 by jim_thompson5910(35256) $\"\"$ $\"About$

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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)

$\"3x%2B5y=9\"$ Start with the given equation

$\"3x%2B5y-3x=9-3x\"$ Subtract 3x from both sides

$\"5y=-3x%2B9\"$ Simplify

$\"%285y%29%2F%285%29=%28-3x%2B9%29%2F%285%29\"$ Divide both sides by 5 to isolate y

$\"y+=+%28-3x%29%2F%285%29%2B%289%29%2F%285%29\"$ Break up the fraction on the right hand side

$\"y+=+%28-3%2F5%29x%2B9%2F5\"$ Reduce and simplify

The original equation $\"3x%2B5y=9\"$ (standard form) is equivalent to $\"y+=+%28-3%2F5%29x%2B9%2F5\"$ (slope-intercept form)

The equation $\"y+=+%28-3%2F5%29x%2B9%2F5\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=-3%2F5\"$ is the slope and $\"b=9%2F5\"$ is the y intercept.

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