document.write( "Question 89067: find the value of k that will make the lines 2x + y = 3 and kx + y = -1 parallel \n" ); document.write( "

Algebra.Com's Answer #64747 by tutor_paul(519) $\"\"$ $\"About$

You can put this solution on YOUR website!
The key thing to know is parallel lines have the same slope.
\n" ); document.write( "So write each equation in y=mx+b form. Once you do that, m is the slope and you can equate them fr the 2 equations:
\n" ); document.write( " $\"2x%2By=3\"$
\n" ); document.write( "Equation #1: $\"y=-2x%2B3\"$
\n" ); document.write( " $\"kx%2By=-1\"$
\n" ); document.write( "Equation #2: $\"y=-kx-1\"$
\n" ); document.write( "So now, you can just equate the 2 slopes and solve for k:
\n" ); document.write( " $\"-k=-2\"$
\n" ); document.write( " $\"highlight%28k=2%29\"$
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( "

\n" );