document.write( "Question 114028: convert to slope-intercept form\r
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Algebra.Com's Answer #82980 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)

$\"%28-4%2F7%29x%2B%282%2F5%29y=2%2F3\"$ Start with the given equation

$\"105%28%28-4%2F7%29x%2B%282%2F5%29y%29=105%282%2F3%29\"$ Multiply both sides by the LCD 105

$\"-60x%2B42y=70\"$ Distribute and multiply (note how the fractions have been eliminated)

$\"-60x%2B42y%2B60x=70%2B60x\"$ Add 60x to both sides

$\"42y=60x%2B70\"$ Simplify

$\"%2842y%29%2F%2842%29=%2860x%2B70%29%2F%2842%29\"$ Divide both sides by 42 to isolate y

$\"y+=+%2860x%29%2F%2842%29%2B%2870%29%2F%2842%29\"$ Break up the fraction on the right hand side

$\"y+=+%2810%2F7%29x%2B5%2F3\"$ Reduce and simplify

The original equation $\"%28-4%2F7%29x%2B%282%2F5%29y=2%2F3\"$ (standard form) is equivalent to $\"y+=+%2810%2F7%29x%2B5%2F3\"$ (slope-intercept form)

The equation $\"y+=+%2810%2F7%29x%2B5%2F3\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=10%2F7\"$ is the slope and $\"b=5%2F3\"$ is the y intercept.

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