document.write( "Question 324719: Given y = -3/2x + 7/2 find the equation of a parallel ine that contains the point (2,6) and then find the equation of a perpendicular line that contains the origin \n" ); document.write( "

Algebra.Com's Answer #232461 by Fombitz(32388) $\"\"$ $\"About$

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Parallel lines have identical slopes.
\n" ); document.write( "Your new line will have the form,
\n" ); document.write( " $\"y=-%283%2F2%29x%2Bb\"$
\n" ); document.write( "Use the point (2,6) to solve for $\"b\"$ .
\n" ); document.write( " $\"6=-%283%2F2%292%2Bb\"$
\n" ); document.write( " $\"b-3=6\"$
\n" ); document.write( " $\"b=9\"$
\n" ); document.write( " $\"highlight%28y=-%283%2F2%29x%2B9%29\"$
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\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( " $\"m1%2Am2=-1\"$
\n" ); document.write( " $\"-%283%2F2%29%2Am2=-1\"$
\n" ); document.write( " $\"m2=2%2F3\"$
\n" ); document.write( " $\"y=%282%2F3%29x%2Bb\"$
\n" ); document.write( "If the point is the origin then,
\n" ); document.write( " $\"0=%282%2F3%29%280%29%2Bb%0D%0A%7B%7B%7Bb=0\"$
\n" ); document.write( " $\"highlight%28y=%282%2F3%29x%29\"$
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