document.write( "Question 30575: Find equation, in standard form, of the line perpendicular to 3x - 6y =9 and passing through (-2, -1) \n" ); document.write( "

Algebra.Com's Answer #17239 by Cintchr(481) $\"\"$ $\"About$

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$\"+3x+-+6y+=9+\"$ put in y=mx+b format
\n" ); document.write( " $\"+-6y+=+-3x+%2B+9+\"$ Divide by -6
\n" ); document.write( " $\"+-6y%2F-6+=+-3x%2F-6+%2B+9%2F-6+\"$
\n" ); document.write( " $\"+y+=+1x%2F2+-+3%2F2+\"$ since the slope (m) is +1/2 the slope of the line that is perpendicular to it is -2/1. Use this and the point to find the next line.
\n" ); document.write( " $\"+y=mx%2Bb+\"$
\n" ); document.write( " $\"+-1=%28-2%29%28-2%29+%2B+b+\"$ Solve for b
\n" ); document.write( " $\"+-1+=+4+%2B+b+\"$ subtract 4
\n" ); document.write( " $\"+-5+=+b+\"$ go back to y=mx+b with your slope and b values
\n" ); document.write( " $\"+y+=+-2x+-+5+\"$ put back into Ax+By=C (standard) format
\n" ); document.write( " $\"+2x+%2B+y+=+-5+\"$
\n" ); document.write( "Look at those nice right angles
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C+%281x%2F2%29-%283%2F2%29%2C+-2x-5+%29+\"$ \n" ); document.write( "

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