document.write( "Question 84357: Determine whether each pair of lines is parallel, perpendicular, or neither.\r
\n" ); document.write( "\n" ); document.write( "5x-y=8 and 5y= -x+3
\n" ); document.write( "

Algebra.Com's Answer #60756 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Determine whether each pair of lines is parallel, perpendicular, or neither.\r
\n" ); document.write( "\n" ); document.write( "5x-y=8 and 5y= -x+3
\n" ); document.write( "If lines are parallel, they have the same slopes. m1=m2
\n" ); document.write( "If lines are perpendicular, they have slopes that are negative reciprocals of each other. m1=-1/m2
\n" ); document.write( "If the slopes are equal or negative reciprocals they are neither parallel nor perpendicular.
\n" ); document.write( ":
\n" ); document.write( "To find the slope of an equation of a line, put the equation in slope intercept form: y=mx+b m=slope.
\n" ); document.write( "5x-y=8
\n" ); document.write( "-5x+5x-y=-5x+8
\n" ); document.write( "-y=-5x+8
\n" ); document.write( "-(-y)=-(-5x+8)
\n" ); document.write( "y=5x-8 the slope of this line is m=5 or m=5/1
\n" ); document.write( "5y=-x+3
\n" ); document.write( "5y/5=-x/5+3/5
\n" ); document.write( "y=(-1/5)x+3/5 the slope of this line is m=-1/5
\n" ); document.write( "The slopes of the lines are negative reciprocals of each other (opposite signs and upside down), therefore the lines are perpendicular.
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( "
\n" );