document.write( "Question 366561:
\n" ); document.write( "• How can you determine if two lines like: 2x – 3y = 5 & 3x + 2y = 7 are perpendicular?
\n" ); document.write( "• How about also showing the two lines: 2x + 3y = 7 & 4x + 6y = 11 are parallel? \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #261229 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "In both cases put, the lines you are comparing, into the slope intercept form:
\n" ); document.write( "y = mx + b by solving for y and then review their slopes\r
\n" ); document.write( "\n" ); document.write( "first ex: lines perpendicular?
\n" ); document.write( "perpendicular lines have slopes that are negative reciprocals of one another
\n" ); document.write( "2x – 3y = 5 y = (2/3)x - (5/3)
\n" ); document.write( "3x + 2y = 7 y = -(3/2)x + 7/2
\n" ); document.write( "Yes, perpendicular -(3/2) is the negative reciprocal of 2/3\r
\n" ); document.write( "\n" ); document.write( "second ex: lines parallel?
\n" ); document.write( "parallel lines have slopes that are equal to one another (have same slant)
\n" ); document.write( "2x + 3y = 7 y = -(2/3) +(7/3)
\n" ); document.write( "4x + 6y = 11 y = -(4/6)x + (11/6)
\n" ); document.write( "Yes, parallel slopes are equal -(4/6) = -(2/3) \n" ); document.write( "
\n" );