document.write( "Question 345409: Find an equation for the linear function g(x) which is perpendicular to the line 7x−4y=8 and intersects the line 7x−4y=8 at x=24. \n" ); document.write( "
Algebra.Com's Answer #247026 by Fombitz(32388)\"\" \"About 
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Find the intersection point.
\n" ); document.write( "\"+7x-4y=8\"
\n" ); document.write( "\"7%2824%29-4y=8\"
\n" ); document.write( "\"168-4y=8\"
\n" ); document.write( "\"-4y=-160\"
\n" ); document.write( "\"y=40\"
\n" ); document.write( "(\"24\",\"40\")
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\n" ); document.write( "Now find the perpendicular line,
\n" ); document.write( "\"7x-4y=8\"
\n" ); document.write( "\"-4y=-7x%2B8\"
\n" ); document.write( "\"y=%287%2F4%29x-2\"
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( "\"m1%2Am2=-1\"
\n" ); document.write( "\"%287%2F4%29%2Am2=-1\"
\n" ); document.write( "\"m2=-4%2F7\"
\n" ); document.write( "Use the point-slope form of a line, \"y=mx%2Bb\"
\n" ); document.write( "\"y=-%284%2F7%29x%2Bb\"
\n" ); document.write( "USe the point (\"24\",\"40\") to solve for \"b\".
\n" ); document.write( "\"40=-%284%2F7%29%2824%29%2Bb\"
\n" ); document.write( "\"b=280%2F7%2B96%2F7\"
\n" ); document.write( "\"b=376%2F7\"
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\n" ); document.write( "\"highlight%28y=-%284%2F7%29x%2B376%2F7%29\"
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