document.write( "Question 1021706: Write the equation of a line that passes through (8,2) and is perpendicular to 4x-y=12 \n" ); document.write( "

Algebra.Com's Answer #637485 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "From the original equation:
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\n" ); document.write( "4x-y=12
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\n" ); document.write( "4x=y+12
\n" ); document.write( "y=4x-12 (RED LINE on graph)
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\n" ); document.write( "The original slope was 4, so the slope of the perpendicular is -1/4.
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\n" ); document.write( "y=(-1/4)x+b
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\n" ); document.write( "Use the given point to find b (x=8, y=2):
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\n" ); document.write( "2=(-1/4)(8)+b
\n" ); document.write( "2=-2+b
\n" ); document.write( "4=b
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\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(-1/4)x+4 (GREEN LINE is graph)
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\n" ); document.write( "ANSWER: Equation of the perpendicular line is y=(-1/4)x+4
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\n" ); document.write( "GRAPH:
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\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+4x-12%2C+%28-1%2F4%29x%2B4%29+\"$
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