document.write( "Question 60727: The line through A(x,5) and B(4,3) is perpendicular to a line whose slope is 3/5. Find the value of x. \n" ); document.write( "

Algebra.Com's Answer #41736 by josmiceli(19441) $\"\"$ $\"About$

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If m is slope of a line, the perpendicular line
\n" ); document.write( "has slope = -(1/m)
\n" ); document.write( " $\"m+=+3%2F5\"$
\n" ); document.write( " $\"m%5B2%5D+=+-5%2F3\"$
\n" ); document.write( " $\"%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29+=+m%5B2%5D\"$
\n" ); document.write( " $\"%285-3%29+%2F+%28x+-+4%29+=+-%285%2F3%29\"$
\n" ); document.write( " $\"-5%2A%28x-4%29+=+6\"$
\n" ); document.write( " $\"-5x+%2B+20+=+6\"$
\n" ); document.write( " $\"5x+=+20+-+6\"$
\n" ); document.write( " $\"x+=+14%2F5\"$
\n" ); document.write( "check it
\n" ); document.write( " $\"%285+-+3%29+%2F+%28%2814%2F5%29+-+4%29+=+-5%2F3\"$
\n" ); document.write( " $\"6+=+-14+%2B+20\"$
\n" ); document.write( " $\"6+=+6\"$
\n" ); document.write( "OK \n" ); document.write( "

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