document.write( "Question 87791: Write the equation of the line L satisfying the given geometric conditions. For Problems 36 and 40, refer to Example 5 (p 631) for the solution of similar problems. Recall that parallel lines have identical slopes – they only differ in their y-intercept – fLor Problem 36.
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #63827 by malakumar_kos@yahoo.com(315)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( " Problem 40 requires that you find the slope of the line that is perpendicular to the one represented by the given equation.
\n" ); document.write( "L has y-intercept (0, 2) and is perpendicular to the line with equation: \r
\n" ); document.write( "\n" ); document.write( "2x – 3y = 6.\r
\n" ); document.write( "\n" ); document.write( " L is the line for which we have to find the eq'n and given L is perpendicular
\n" ); document.write( " to 2x-3y = 6, and has intercept (0,2)
\n" ); document.write( " Let the eq'n to L be Y=mx+c therefore 2 = m.0 +c or c = 2
\n" ); document.write( " to find the slope of the line 2x-3y = 6 ; -3y = -2x+6 ; y = 2x/3+6/-3
\n" ); document.write( " y = 2x/3-2 ; therefore slope m =2/3
\n" ); document.write( " the slope of line L = -3/2 (the lines are perpendicular hence product of thier slopes = -1,, M.m = -1, M = -1/2/3 = -3/2)
\n" ); document.write( " the eq'n to the line L is y = -3x/2+2 (by substituting for M & c from the above) or eq'n can be reduced to 2y = -3x+4 OR 3x+2y = 4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );