document.write( "Question 468153: perpendicular to the line y=1/7x+6; containing the points (4, -3) \n" ); document.write( "

Algebra.Com's Answer #321222 by ccs2011(207) $\"\"$ $\"About$

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Perpendicular lines have opposite reciprocal slopes:
\n" ); document.write( "m1*m2 = -1
\n" ); document.write( "Given that the line is perpendicular to $\"y+=+%281%2F7%29x+%2B6\"$
\n" ); document.write( "m1 = 1/7
\n" ); document.write( "Then $\"%281%2F7%29m2+=+-1\"$
\n" ); document.write( "Multiply by 7 on both sides
\n" ); document.write( " $\"m2+=+-7\"$
\n" ); document.write( "Now use this slope and the given point (4,-3) to obtain equation of a line:
\n" ); document.write( "Point-slope form
\n" ); document.write( "(y-y1) = m(x-x1)
\n" ); document.write( "(y+3) = -7(x - 4)
\n" ); document.write( "Distribute
\n" ); document.write( "y+3 = -7x + 28
\n" ); document.write( "Subtract 3 on both sides
\n" ); document.write( "y = -7x + 25 \n" ); document.write( "

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