document.write( "Question 107806: 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 #78560 by checkley71(8403) $\"\"$ $\"About$

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3x-6y=9
\n" ); document.write( "-6y=-3x+9 NOW WE HAVE TO REDUCE THE -6Y TERM TO Y.
\n" ); document.write( "WE DO THIS BY DIVIDING ALL THE TERMS BY -6.
\n" ); document.write( "-6y/-6=-3x/-6+9/-6 NOW WE REDUCE WHENEVER POSSIBLE.
\n" ); document.write( "y=1/2x-3/2 HERE IT'S EASIER TO DEAL IN DECIMALS THAN FRACTIONS.
\n" ); document.write( "y=.5x-1.5 (red line)
\n" ); document.write( "the perpendicular line has a slope of -2 ( THIS IS THE NEGATIVE RECIPRICAL OF .5) & PASSING THROUGH (-2,-1) USING THE LINE EQUATIO (Y=mX+b) WHERE m=SLOPE & b= THE Y INTERCEPT.
\n" ); document.write( "-1=-2*-2+b
\n" ); document.write( "-1=4+b
\n" ); document.write( "b=-1-4
\n" ); document.write( "b=-5
\n" ); document.write( "thus the equation is:
\n" ); document.write( "y=-2x-5 (green line)
\n" ); document.write( " $\"+graph%28+200%2C+200%2C+-6%2C+5%2C+-6%2C+5%2C+y+=+.5x+-1.5%2C+y+=+-2x+-5%29+\"$ (graph 200x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions y = .5x -1.5 and y = -2x -5). \n" ); document.write( "

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