document.write( "Question 613582: give the slope of the line defined by the equation 5x-7y+3=0\r
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Algebra.Com's Answer #386145 by radh(108) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, let's love the 3 to the other side, to get $\"5x-7y=-3\"$ .\r
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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)

$\"5x-7y=-3\"$ Start with the given equation

$\"5x-7y-5x=-3-5x\"$ Subtract 5x from both sides

$\"-7y=-5x-3\"$ Simplify

$\"%28-7y%29%2F%28-7%29=%28-5x-3%29%2F%28-7%29\"$ Divide both sides by -7 to isolate y

$\"y+=+%28-5x%29%2F%28-7%29%2B%28-3%29%2F%28-7%29\"$ Break up the fraction on the right hand side

$\"y+=+%285%2F7%29x%2B3%2F7\"$ Reduce and simplify

The original equation $\"5x-7y=-3\"$ (standard form) is equivalent to $\"y+=+%285%2F7%29x%2B3%2F7\"$ (slope-intercept form)

The equation $\"y+=+%285%2F7%29x%2B3%2F7\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=5%2F7\"$ is the slope and $\"b=3%2F7\"$ is the y intercept.

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