document.write( "Question 120591: Write the equation of the line L satisfying the given geometric conditions\r
\n" ); document.write( "\n" ); document.write( "L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6.
\n" ); document.write( "

Algebra.Com's Answer #88404 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
2X-3Y=6 OR -3Y=-2X+6 OR Y=-2X/-3+6/-3 OR Y=2X/3-2 (RED LINE)
\n" ); document.write( "THE OPERPENDICULAR LINE PASSING THROUGH (0,2) HAS A SLOPE=-3/2 [NEGATIVE RECIPRICAL OF THE RED LINE]
\n" ); document.write( "2=-3/2*0+b
\n" ); document.write( "2=b WHICH IS THE Y INTERCEPT
\n" ); document.write( "Y=-3X/2+2 IS THIS LINE EQUATION (GREEN LINE)
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-6%2C+5%2C+-6%2C+10%2C+y+=+2x%2F3+-2%2C+y+=-3x%2F2+%2B2%29+\" (graph 300x300 pixels, x from -6 to 5, y from -6 to 10, of TWO functions y = 2x/3 -2 and y = -3x/2 +2).
\n" ); document.write( "
\n" );