document.write( "Question 278357: Express the following equation in slope-intercept form: 7x - 5y = 10 \n" ); document.write( "

Algebra.Com's Answer #202618 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)

$\"7x-5y=10\"$ Start with the given equation

$\"7x-5y-7x=10-7x\"$ Subtract 7x from both sides

$\"-5y=-7x%2B10\"$ Simplify

$\"%28-5y%29%2F%28-5%29=%28-7x%2B10%29%2F%28-5%29\"$ Divide both sides by -5 to isolate y

$\"y+=+%28-7x%29%2F%28-5%29%2B%2810%29%2F%28-5%29\"$ Break up the fraction on the right hand side

$\"y+=+%287%2F5%29x-2\"$ Reduce and simplify

The original equation $\"7x-5y=10\"$ (standard form) is equivalent to $\"y+=+%287%2F5%29x-2\"$ (slope-intercept form)

The equation $\"y+=+%287%2F5%29x-2\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=7%2F5\"$ is the slope and $\"b=-2\"$ is the y intercept.

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