document.write( "Question 86893This question is from textbook
\n" ); document.write( ": This is actually in preperation for a test on this chapter. I don't understand graphing and sloping real well. It's not the artithmatic that's the problem for me, it's remembering the formulas (step by step.\r
\n" ); document.write( "\n" ); document.write( "Here's an example:\r
\n" ); document.write( "\n" ); document.write( "Find the slope and the y-intercept of the line given by 4x-9y=15.\r
\n" ); document.write( "\n" ); document.write( "Can I get a step-by-step on how to solve this?\r
\n" ); document.write( "\n" ); document.write( "Thanx
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Algebra.Com's Answer #62838 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)

$\"4x-9y=15\"$ Start with the given equation

$\"4x-9y-4x=15-4x\"$ Subtract 4x from both sides

$\"-9y=-4x%2B15\"$ Simplify

$\"%28-9y%29%2F%28-9%29=%28-4x%2B15%29%2F%28-9%29\"$ Divide both sides by -9 to isolate y

$\"y+=+%28-4x%29%2F%28-9%29%2B%2815%29%2F%28-9%29\"$ Break up the fraction on the right hand side

$\"y+=+%284%2F9%29x-5%2F3\"$ Reduce and simplify

The original equation $\"4x-9y=15\"$ (standard form) is equivalent to $\"y+=+%284%2F9%29x-5%2F3\"$ (slope-intercept form)

The equation $\"y+=+%284%2F9%29x-5%2F3\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=4%2F9\"$ is the slope and $\"b=-5%2F3\"$ is the y intercept.

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