document.write( "Question 381477: Determine whether the graphs of y=2x-6 and -4x=2y are parallel lines, perpendicular lines, or neither. \n" ); document.write( "

Algebra.Com's Answer #270562 by Jk22(389) $\"\"$ $\"About$

You can put this solution on YOUR website!
the line y=2x-6 can be seen as : (x,y)=(1,2)t+(0,-6), where t is a parameter, and (1,2) the vector describing the direction of the line
\n" ); document.write( "
\n" ); document.write( "the 2nd equation is : y=-2x, or (x,y)=(1,-2)t
\n" ); document.write( "
\n" ); document.write( "since both vector (1,2), (1,-2) are not co-linear, they are not parallel.
\n" ); document.write( "
\n" ); document.write( "if we compute the dot product of both vector, we find (1,2)(1,-2)=1+4 different from 0, hence the lines are not perpendicular neither.
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

\n" );