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)![]() ![]() ![]() 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( " |