document.write( "Question 827233: are the graphs of the line in the pair parallel? explain y=4x+6
\n" ); document.write( "-15x+3y=-45
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Algebra.Com's Answer #498546 by LinnW(1048)\"\" \"About 
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y=4x+6
\n" ); document.write( "-15x+3y=-45\r
\n" ); document.write( "\n" ); document.write( "The slope of y=4x+6 is 4. Notice that the form is y = mx + b where m is slope.\r
\n" ); document.write( "\n" ); document.write( "To find the slope of -15x+3y=-45 , solve for y
\n" ); document.write( "-15x+3y=-45
\n" ); document.write( "add 15x to each side
\n" ); document.write( " 3y = 15x -45
\n" ); document.write( "divide each side by 3
\n" ); document.write( " y = 5x - 15
\n" ); document.write( "The slope of this equation is 5 which does not match the slope of the first
\n" ); document.write( "equation, since the slope of the first equation is 4.
\n" ); document.write( "Since the slopes are not the same, the lines are not parallel.
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