document.write( "Question 706313: Hi. I've solved for t but still can't figure out how to solve for the questions. Thank you for your help.\r
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document.write( "Here is the problem:\r
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document.write( "What is the slope of the line x=-3t+10 and y=4t+2.\r
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document.write( "(a) m=\r
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document.write( "(b) Where does the line cross the x-axis? (______,0)\r
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document.write( "(c) Where does the line cross the y-axis? (0,______) \n" );
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Algebra.Com's Answer #435076 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Here is the problem: \n" ); document.write( "Comment: Didn't notice the problem was parametric. \n" ); document.write( "------\r \n" ); document.write( "\n" ); document.write( "What is the slope of the line x=-3t+10 and y=4t+2. \n" ); document.write( "3t = -x+10 \n" ); document.write( "t = (-x+10)/3 \n" ); document.write( "----- \n" ); document.write( "4t = y-2 \n" ); document.write( "t = (y-2)/4 \n" ); document.write( "---- \n" ); document.write( "Equate the \"t\" values: \n" ); document.write( "(-x+10)/3 = (y-2)/4 \n" ); document.write( "Cross-multiply:::: \n" ); document.write( "3(y-2) = 4(-x+10) \n" ); document.write( "3y-6 = -4x + 40 \n" ); document.write( "3y = -4x + 46 \n" ); document.write( "y = (-4/3)x + (46/3) \n" ); document.write( "---------------------------\r \n" ); document.write( "\n" ); document.write( "-------------------------- \n" ); document.write( "(a) m= -4/3 \n" ); document.write( "-------------------- \n" ); document.write( "(b) Where does the line cross the x-axis? (______,0) \n" ); document.write( "y = (-4/3)x + (46/3) \n" ); document.write( "(-4x+46)/3 = 0 \n" ); document.write( "-4x = -46 \n" ); document.write( "x = 46/4 \n" ); document.write( "-------------------\r \n" ); document.write( "\n" ); document.write( "(c) Where does the line cross the y-axis? (0,______)\r \n" ); document.write( "\n" ); document.write( "y = (-4/3)x + (46/3) \n" ); document.write( "y = (46/3) \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==============\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |