document.write( "Question 118306: #29 3.3
\n" ); document.write( "find the slope and y intercept for each line that has a slope and y intrcept.\r
\n" ); document.write( "\n" ); document.write( "x-2y=4\r
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\n" ); document.write( "\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #86419 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)

$\"1x-2y=4\"$ Start with the given equation

$\"1x-2y-1x=4-1x\"$ Subtract 1x from both sides

$\"-2y=-1x%2B4\"$ Simplify

$\"%28-2y%29%2F%28-2%29=%28-1x%2B4%29%2F%28-2%29\"$ Divide both sides by -2 to isolate y

$\"y+=+%28-1x%29%2F%28-2%29%2B%284%29%2F%28-2%29\"$ Break up the fraction on the right hand side

$\"y+=+%281%2F2%29x-2\"$ Reduce and simplify

The original equation $\"1x-2y=4\"$ (standard form) is equivalent to $\"y+=+%281%2F2%29x-2\"$ (slope-intercept form)

The equation $\"y+=+%281%2F2%29x-2\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=1%2F2\"$ is the slope and $\"b=-2\"$ is the y intercept.

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