document.write( "Question 1199013: Determine whether the graphs of each pair of lines are parallel(PL), perpendicular (PR), or neither (N).\r
\n" ); document.write( "\n" ); document.write( "1. y+5=-x
\n" ); document.write( " x-y= 2\r
\n" ); document.write( "\n" ); document.write( "2. y-x= -3
\n" ); document.write( " x+4= y\r
\n" ); document.write( "\n" ); document.write( "3. 5x-y=8
\n" ); document.write( " 5y=-x+3\r
\n" ); document.write( "\n" ); document.write( "4. 2y=3x+12
\n" ); document.write( " 3y=2x-5
\n" ); document.write( "

Algebra.Com's Answer #832705 by math_tutor2020(3817)\"\" \"About 
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( "
\n" );