document.write( "Question 323999: Find the standard form of the equation of the line passing through (5, - ⅔)
\n" ); document.write( "and perpendicular to the graph of x = 3y.
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Algebra.Com's Answer #231920 by Fombitz(32388) $\"\"$ $\"About$

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$\"x+=+3y\"$
\n" ); document.write( " $\"y=%281%2F3%29x\"$
\n" ); document.write( "The slope of this line is $\"m=1%2F3\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( " $\"m1%2Am2=-1\"$
\n" ); document.write( " $\"m2=-1%2Fm1=-3\"$
\n" ); document.write( "Use the slope-intercept form of a line $\"y=mx%2Bb\"$
\n" ); document.write( " $\"y=-3x%2Bb\"$
\n" ); document.write( "Use the point (5,-2/3) to solve for b.
\n" ); document.write( " $\"-2%2F3=-3%285%29%2Bb\"$
\n" ); document.write( " $\"b=-2%2F3%2B45%2F3\"$
\n" ); document.write( " $\"b=43%2F3\"$
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\n" ); document.write( " $\"y=-3x%2B43%2F3\"$
\n" ); document.write( " $\"3y=-9x%2B43\"$
\n" ); document.write( " $\"highlight%289x%2B3y=43%29\"$
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