document.write( "Question 7028: Determine the slope and y-intercept of the graph of 7x-3y=2. \n" ); document.write( "

Algebra.Com's Answer #3858 by glabow(165) $\"\"$ $\"About$

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Since the slope-intercept form of the equation of a line gives you the slope and intercept directly, your job is to rearrange the equation into the form
\n" ); document.write( " $\"y+=+mx+%2B+b\"$ where m is the slope and b is the y-intercept.\r
\n" ); document.write( "\n" ); document.write( " $\"7x-3y=2\"$
\n" ); document.write( " $\"-3y=2-7x\"$ [subtract 7x from both sides]
\n" ); document.write( " $\"y=%282%2F-3%29+-+%287x%2F-3%29\"$ [divide both sides by -3]
\n" ); document.write( " $\"y=%287%2F3%29x+-+2%2F3\"$ [rearrange to match slope-intercept form]\r
\n" ); document.write( "\n" ); document.write( "slope = 7/3
\n" ); document.write( "y-intercept = -2/3\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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