document.write( "Question 643725: the line through (8,-2) and perpendicular to the line y=-2x+7 \n" ); document.write( "

Algebra.Com's Answer #404607 by josmiceli(19441) $\"\"$ $\"About$

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The slope of the line $\"+y+=+-2x+%2B+78+\"$
\n" ); document.write( "is $\"+-2+\"$
\n" ); document.write( "When the slope is $\"+m+\"$ , the slope that
\n" ); document.write( "is perpendicular is $\"+-1%2Fm+\"$
\n" ); document.write( " $\"+-1%2F%28-2%29+=+1%2F2+\"$
\n" ); document.write( "The point-slope form is
\n" ); document.write( " $\"+y+=+m%2Ax+%2B+b+\"$
\n" ); document.write( " $\"+y+=+%281%2F2%29%2Ax+%2B+b+\"$
\n" ); document.write( "The point (8,-2) is included
\n" ); document.write( " $\"+-2+=+%281%2F2%29%2A8+%2B+b+\"$
\n" ); document.write( " $\"+-2+=+4+%2B+b+\"$
\n" ); document.write( " $\"+b+=+-6+\"$
\n" ); document.write( "---------
\n" ); document.write( "The equation is
\n" ); document.write( " $\"+y+=+%281%2F2%29%2Ax+-+6+\"$ \n" ); document.write( "

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