document.write( "Question 91250: My question is:\r
\n" ); document.write( "\n" ); document.write( "What is the slope of the following line? 2x – 3y = 18\r
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Algebra.Com's Answer #66231 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)

$\"2x-3y=18\"$ Start with the given equation

$\"2x-3y-2x=18-2x\"$ Subtract 2x from both sides

$\"-3y=-2x%2B18\"$ Simplify

$\"%28-3y%29%2F%28-3%29=%28-2x%2B18%29%2F%28-3%29\"$ Divide both sides by -3 to isolate y

$\"y+=+%28-2x%29%2F%28-3%29%2B%2818%29%2F%28-3%29\"$ Break up the fraction on the right hand side

$\"y+=+%282%2F3%29x-6\"$ Reduce and simplify

The original equation $\"2x-3y=18\"$ (standard form) is equivalent to $\"y+=+%282%2F3%29x-6\"$ (slope-intercept form)

The equation $\"y+=+%282%2F3%29x-6\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=2%2F3\"$ is the slope and $\"b=-6\"$ is the y intercept.

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