document.write( "Question 248566: y=-2x+5 and y=1/2x indicate if each pair of lines is parallel, perpendicular, or neither. \n" ); document.write( "

Algebra.Com's Answer #181148 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
The two equations are:
\n" ); document.write( " $\"y=-2x+%2B+5\"$
\n" ); document.write( " $\"y+=+%281%2F2%29x\"$
\n" ); document.write( ".
\n" ); document.write( "For lines to parallel thus must have the same slope.
\n" ); document.write( "Perpendicular lines have slopes that are the negative inverse of each other.
\n" ); document.write( ".
\n" ); document.write( "The negative inverse of -2 is 1/2, so it appears these lines are perpendicular.
\n" ); document.write( ".
\n" ); document.write( "We can graph them as:
\n" ); document.write( " $\"%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-2%2Ax%2B5%2C+1%2F2%2Ax%29%0D%0A\"$ \n" ); document.write( "

\n" );