document.write( "Question 884975: the line y=ax+b is perpendicular to the line y-3x=4 and passes through point (1,-2). Find the value of a and b. \n" ); document.write( "

Algebra.Com's Answer #534832 by Fombitz(32388) $\"\"$ $\"About$

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Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( " $\"y=3x%2B4\"$
\n" ); document.write( " $\"m=3\"$
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\n" ); document.write( " $\"m%5Bp%5D%2A3=-1\"$
\n" ); document.write( " $\"m%5Bp%5D=-1%2F3\"$
\n" ); document.write( "Use the point slope form of a line,
\n" ); document.write( " $\"y-%28-2%29%29=-%281%2F3%29%28x-1%29\"$
\n" ); document.write( " $\"y%2B2=-%281%2F3%29x%2B1%2F3\"$
\n" ); document.write( " $\"y=-%281%2F3%29x%2B1%2F3-6%2F3\"$
\n" ); document.write( " $\"y=-%281%2F3%29x-5%2F3\"$
\n" ); document.write( ".
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\n" ); document.write( " $\"a=-1%2F3\"$
\n" ); document.write( " $\"b=-5%2F3\"$
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