document.write( "Question 118553This question is from textbook McDougal Littell Algebra 1
\n" ); document.write( ": Write y = 2/3x + 1/4 in standard form with integer coefficients. \n" ); document.write( "

Algebra.Com's Answer #86682 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 slope-intercept form (y = mx+b) to standard form (Ax+By = C)

$\"y+=+%282%2F3%29x%2B1%2F4\"$ Start with the given equation

$\"12%2Ay+=+12%2A%28%282%2F3%29x%2B1%2F4%29\"$ Multiply both sides by the LCD 12

$\"12y+=+8x%2B3\"$ Distribute and multiply

$\"12y-8x+=+8x%2B3-8x\"$ Subtract 8x from both sides

$\"-8x%2B12y+=+3\"$ Simplify

$\"-1%2A%28-8x%2B12y%29+=+-1%2A%283%29\"$ Multiply both sides by -1 to make the A coefficient positive (note: this step may be optional; it will depend on your teacher and/or textbook)

$\"8x-12y+=+-3\"$ Distribute and simplify

The original equation $\"y+=+%282%2F3%29x%2B1%2F4\"$ (slope-intercept form) is equivalent to $\"8x-12y+=+-3\"$ (standard form where A > 0)

The equation $\"8x-12y+=+-3\"$ is in the form $\"Ax%2BBy+=+C\"$ where $\"A+=+8\"$ , $\"B+=+-12\"$ and $\"C+=+-3\"$

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