document.write( "Question 89929: This is from a worksheet:\r
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document.write( "Determine whether the pair of lines is parallel, perpendicular, or neither.\r
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document.write( "3x - 4y = -6 and 8x + 6y = 2 \n" );
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Algebra.Com's Answer #65302 by malakumar_kos@yahoo.com(315)![]() ![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( " Determine whether the pair of lines is parallel, perpendicular, or neither. \n" ); document.write( "3x - 4y = -6 and 8x + 6y = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " There are two conditions for determining if the lines are parallel or perpendicular\r \n" ); document.write( "\n" ); document.write( " 1) lines are parallel if their slopes are equal\r \n" ); document.write( "\n" ); document.write( " 2) lines are perpendicular ifthe product of the slopes = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Let us find the slopes of the given eq'ns \n" ); document.write( " bring both the eq'ns to the std form i.e, y = mx+c where m = slope\r \n" ); document.write( "\n" ); document.write( " 3x-4y = -6 3x+6 = 4y or y = 3x/4+6/4 slope M = 3/4\r \n" ); document.write( "\n" ); document.write( " 8x+6y = 2 6y = -8x+2 or y = -8x/6+2/6 = -4x/3+1/3 slope m = -4/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " m - -4/3 M = 3/4 hence m.M = -4/3.3/4 = -1 \r \n" ); document.write( "\n" ); document.write( " since the products of the slopes are equal to -1 the lines are perpendicular \n" ); document.write( " \n" ); document.write( " |