document.write( "Question 114189: Find the slope and y-intercept.
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Algebra.Com's Answer #83096 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)

$\"-5x%2B10y=70\"$ Start with the given equation

$\"-5x%2B10y%2B5x=70%2B5x\"$ Add 5x to both sides

$\"10y=5x%2B70\"$ Simplify

$\"%2810y%29%2F%2810%29=%285x%2B70%29%2F%2810%29\"$ Divide both sides by 10 to isolate y

$\"y+=+%285x%29%2F%2810%29%2B%2870%29%2F%2810%29\"$ Break up the fraction on the right hand side

$\"y+=+%281%2F2%29x%2B7\"$ Reduce and simplify

The original equation $\"-5x%2B10y=70\"$ (standard form) is equivalent to $\"y+=+%281%2F2%29x%2B7\"$ (slope-intercept form)

The equation $\"y+=+%281%2F2%29x%2B7\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=1%2F2\"$ is the slope and $\"b=7\"$ is the y intercept.

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