document.write( "Question 901779: Find an equation for the linear function g(x) which is perpendicular to the line 5 x - 4 y = 8 and intersects the line 5 x - 4 y = 8 at x = 20.
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Algebra.Com's Answer #546950 by josgarithmetic(39617)\"\" \"About 
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The point of intersection is supposed to be x=20, and \"5%2A20-4y=8\",
\n" ); document.write( "\"5%2A5-y=2\"
\n" ); document.write( "\"25-2=y\"
\n" ); document.write( "\"y=23\"
\n" ); document.write( "The point (20,23).\r
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\n" ); document.write( "\n" ); document.write( "The line perpendicular to that given line is \"4x%2B5y=c\", which choice uses knowledge of the standard form in which the equation is written. Substituting the found point of intersection (the expected point of intersection) will give the value for c:
\n" ); document.write( "\"4%2A20%2B5%2A23=c\"
\n" ); document.write( "\"highlight_green%28c=135%29\".\r
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\n" ); document.write( "\n" ); document.write( "Now, the line being found, perpendicular to the given line at (20,23) is
\n" ); document.write( "\"4x%2B5y=135\".
\n" ); document.write( "Solve this for y, and THAT is your desired function, \"g%28x%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"5y=-4x%2B135\"
\n" ); document.write( "\"highlight%28g%28x%29=y=-%284%2F5%29x%2B27%29\"
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