document.write( "Question 510207: How do you determine whether a pair of lines are parallel, perpendicular, or neither?\r
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document.write( "ex. \r
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document.write( "5x=3y+3
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document.write( "-10x+6y=3 \n" );
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Algebra.Com's Answer #341770 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! these lines are parallel because they have the same slope\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solving the equations for y, puts the lines into slope-intercept form (y = mx + b) \n" ); document.write( "___ m is the slope of the line and b is the y-intercept (where the line crosses the y-axis)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x=3y+3 ___ y = (5/3)x - 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-10x+6y=3 ___ y = (5/3)x + (1/2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the slopes were negative-reciprocals of each other, the lines would be perpendicular\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "anything else would be neither \n" ); document.write( " |