document.write( "Question 1199013: Determine whether the graphs of each pair of lines are parallel(PL), perpendicular (PR), or neither (N).\r
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document.write( "1. y+5=-x
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document.write( " x-y= 2\r
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document.write( "2. y-x= -3
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document.write( " x+4= y\r
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document.write( "3. 5x-y=8
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document.write( " 5y=-x+3\r
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document.write( "4. 2y=3x+12
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document.write( " 3y=2x-5 \n" );
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Algebra.Com's Answer #832705 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "I'll do problem 1 to get you started. \n" ); document.write( "Please post one problem at a time in the future.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve each equation for y. \n" ); document.write( "y+5 = -x \n" ); document.write( "y = -x+5 \n" ); document.write( "Compare this to y = mx+b to find the slope is m = -1 and y-intercept is 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Repeat for the other equation \n" ); document.write( "x-y = 2 \n" ); document.write( "x = 2+y \n" ); document.write( "x-2 = y \n" ); document.write( "y = x-2 \n" ); document.write( "y = 1x-2 \n" ); document.write( "This equation has a slope of m = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Recap: \n" ); document.write( "y = -x+5 has a slope of -1 \n" ); document.write( "y = x-2 has a slope of 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These two lines are not parallel because the slopes are different. \n" ); document.write( "Parallel lines must have equal slopes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The lines are perpendicular because their slopes multiply to -1 \n" ); document.write( "(slope1)*(slope2) = -1*(1) = -1 \n" ); document.write( " \n" ); document.write( " |