document.write( "Question 119889: find the slope and y-intercept of the line 9x-3y=54 \n" ); document.write( "

Algebra.Com's Answer #87865 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)

$\"9x-3y=54\"$ Start with the given equation

$\"9x-3y-9x=54-9x\"$ Subtract 9x from both sides

$\"-3y=-9x%2B54\"$ Simplify

$\"%28-3y%29%2F%28-3%29=%28-9x%2B54%29%2F%28-3%29\"$ Divide both sides by -3 to isolate y

$\"y+=+%28-9x%29%2F%28-3%29%2B%2854%29%2F%28-3%29\"$ Break up the fraction on the right hand side

$\"y+=+3x-18\"$ Reduce and simplify

The original equation $\"9x-3y=54\"$ (standard form) is equivalent to $\"y+=+3x-18\"$ (slope-intercept form)

The equation $\"y+=+3x-18\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=3\"$ is the slope and $\"b=-18\"$ is the y intercept.

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