document.write( "Question 113521: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x-6y=9 and passing through (-2,-1) \n" ); document.write( "
Algebra.Com's Answer #82597 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x-6y=9 and passing through (-2,-1)
\n" ); document.write( "----------------
\n" ); document.write( "The given line can be written as y = (1/2)(x)-(3/2)
\n" ); document.write( "It has slope = (1/2)
\n" ); document.write( "------------------------
\n" ); document.write( "Any line perpendicular to it has slope -2
\n" ); document.write( "The line you want has form y = mx + b
\n" ); document.write( "Substitute to solve for \"b\":
\n" ); document.write( "-1 = -2*-2+b
\n" ); document.write( "-1 = 4+b
\n" ); document.write( "b = -5
\n" ); document.write( "-------------
\n" ); document.write( "EQUATION:
\n" ); document.write( "y = -2x -5 is perpendicular to 3x-6y=9 and passes thru (-2,-1)
\n" ); document.write( "It's studard form is 2x+y+5=0
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );