document.write( "Question 153309This question is from textbook Algebra structure and method book 1
\n" ); document.write( ": can you please help me indicate if the line is parallel, perpendicular, or neither. (((3x+y=5 -x+3y=6))) \n" ); document.write( "

Algebra.Com's Answer #112843 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
can you please help me indicate if the line is parallel, perpendicular, or neither.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve them both for y and look at their respective coefficients of x.\r\n" );
document.write( "These coefficients are the slopes of the lines. \r\n" );
document.write( "\r\n" );
document.write( "1. If the are the same, the lines are parallel.\r\n" );
document.write( "2. If they are not parallel, then find the reciprocal of one of those\r\n" );
document.write( "   coefficients of x, then change the sign.  If that is the same as the \r\n" );
document.write( "   other coefficient of x, then they are perpendicular.\r\n" );
document.write( "\r\n" );
document.write( "If neither, then neither!\r\n" );
document.write( "\r\n" );
document.write( "Solve the first for y:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add -3x to both sides:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "The coefficient of  is \r\n" );
document.write( "\r\n" );
document.write( "Solve the second for y:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add +x to both sides:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "Now we must multiply both sides by \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The coefficient of  is \r\n" );
document.write( "\r\n" );
document.write( "------\r\n" );
document.write( "\r\n" );
document.write( "So the two coefficients are  and \r\n" );
document.write( "\r\n" );
document.write( "They certainly are not the same, so they are not parallel.\r\n" );
document.write( "\r\n" );
document.write( "So let's find the reciprocal of the  which is\r\n" );
document.write( " which equals  and then change the sign to \r\n" );
document.write( ".\r\n" );
document.write( "\r\n" );
document.write( "We notice that we get the other.  So therefore they are perpendicular.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );