document.write( "Question 85805: Can someone please help me with this one? Are the two lines with equations 2x + 3y = 8 and 3x + 2y = 7 parallel, perpendicular or neither? Tell (algebraically) how you know. \n" ); document.write( "
Algebra.Com's Answer #61988 by stanbon(75887) ![]() You can put this solution on YOUR website! Are the two lines with equations 2x + 3y = 8 and 3x + 2y = 7 parallel, perpendicular or neither? \n" ); document.write( "--------- \n" ); document.write( "Solve each equation for y: \n" ); document.write( "y=(-2/3)x + (8/3) \n" ); document.write( "y=(-3/2)x + (7/2) \n" ); document.write( "--------------------- \n" ); document.write( "The 1st has slope -2/3 \n" ); document.write( "The 2nd has slope -3/2 \n" ); document.write( "----------------- \n" ); document.write( "The lines are not parallel because the slopes are not the same. \n" ); document.write( "The lines are not perpendicular because the product of the slopes is not -1. \n" ); document.write( "So the lines are neither parallel nor perpendicular. \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( " |