document.write( "Question 771282: (0,-7), $\"4x%2B3=y\"$ , can you tell the equation of the line containing the specified point and perpendicular to the indicated line. \n" ); document.write( "

Algebra.Com's Answer #470090 by Jc0110(165) $\"\"$ $\"About$

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$\"4x%2B3=y\"$
\n" ); document.write( " $\"y=highlight%284%29x%2B3\"$ --> The highlighted part represents the slope, m.
\n" ); document.write( " $\"y=mx%2Bc\"$ ... Substitute $\"x=0\"$ , $\"y=-7\"$ and $\"m=4\"$ into $\"y=mx%2Bc\"$
\n" ); document.write( " $\"-7=4%280%29%2Bc\"$
\n" ); document.write( " $\"-7=c\"$
\n" ); document.write( " $\"c=-7\"$
\n" ); document.write( " $\"y=4x-7\"$
\n" ); document.write( "Therefore, the equation of the line containing the specified point (0,-7) is $\"y=4x-7\"$ .
\n" ); document.write( " $\"m%5B1%5D%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"4%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=-1%2F4\"$
\n" ); document.write( " $\"y=mx%2Bc\"$ ... Substitute $\"x=0\"$ , $\"y=-7\"$ and $\"m=-1%2F4\"$ into $\"y=mx%2Bc\"$
\n" ); document.write( " $\"-7=%28-1%2F4%29%280%29%2Bc\"$
\n" ); document.write( " $\"-7=c\"$
\n" ); document.write( " $\"c=-7\"$
\n" ); document.write( " $\"y=%28-1%2F4%29x-7%29\"$
\n" ); document.write( " $\"4y=-x-28%29\"$
\n" ); document.write( "Therefore, the equation of the line which is perpendicular to the indicated line is $\"4y=-x-28%29\"$ . \n" ); document.write( "

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