document.write( "Question 321919: Given the line y = 3x – 2 and the point (2, -4), find the equations of the lines parallel and perpendicular to the line above. \n" ); document.write( "

Algebra.Com's Answer #230445 by Fombitz(32388) $\"\"$ $\"About$

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Parallel lines have identical slopes.
\n" ); document.write( " $\"y=3x%2Bb\"$
\n" ); document.write( "Use the point (2,-4) to solve for $\"b\"$ .
\n" ); document.write( " $\"-4=3%282%29%2Bb\"$
\n" ); document.write( " $\"b%2B6=-4\"$
\n" ); document.write( " $\"b=-10\"$
\n" ); document.write( " $\"highlight%28y=3x-10%29\"$
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\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( " $\"m1%2Am2=-1\"$
\n" ); document.write( " $\"3%2Am2=-1\"$
\n" ); document.write( " $\"m2=-1%2F3\"$
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\n" ); document.write( " $\"y=-%281%2F3%29x%2Bb\"$
\n" ); document.write( "Again, use the point (2,-4) to solve for b,
\n" ); document.write( " $\"-4=-2%2F3%2Bb\"$
\n" ); document.write( " $\"b=-12%2F3%2B2%2F3\"$
\n" ); document.write( " $\"b=-10%2F3\"$
\n" ); document.write( " $\"highlight%28y=-%281%2F3%29x-10%2F3%29\"$
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\n" ); document.write( "Blue line is the original line.
\n" ); document.write( "Red line is the parallel line.
\n" ); document.write( "Green line is the perpendicular line. \n" ); document.write( "

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