document.write( "Question 58484: L has y-intercept (0,2) and is perpendicular to the line with equation 2x - 3y = 6 \n" ); document.write( "
Algebra.Com's Answer #40059 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
L has y-intercept (0,2) and is perpendicular to the line with equation 2x - 3y = 6
\n" ); document.write( ":
\n" ); document.write( "Put the equation of the line that they gave you in slope intercept form: \"highlight%28y=mx%2Bb%29\", m=slope and (0,b) is the y-intercept.
\n" ); document.write( "2x-3y=6
\n" ); document.write( "-2x+2x-3y=-2x+6
\n" ); document.write( "-3y=-2x+6
\n" ); document.write( "\"-3y%2F-3=%28-2%2F-3%29x%2B6%2F-3\"
\n" ); document.write( "\"y=%282%2F3%29x-2\"
\n" ); document.write( "The slope of this line is m=2/3 and perpendicular lines have slopes that are negative reciprocals of each other so change the sign and flip it over and you have the slope of a perpendicular line: m=-3/2
\n" ); document.write( "They gave you the y-intercept to go through with your perpendicular line: (0,b)=(0,2)
\n" ); document.write( "Plug m=-3/2 and b=2 into y=mx+b
\n" ); document.write( "\"highlight%28y=%28-3%2F2%29x%2B2%29\"
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( "
\n" );