document.write( "Question 1191010: Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10 \n" ); document.write( "
Algebra.Com's Answer #822759 by MathLover1(20855)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "the equation of the line \r
\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\"\r
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\n" ); document.write( "\n" ); document.write( "find the line passing through the point (\"6\",\"3\") \r
\n" ); document.write( "\n" ); document.write( "that is perpendicular to the line \"4x%E2%88%925y=%E2%88%9210\"\r
\n" ); document.write( "\n" ); document.write( "perpendicular lines have slopes negative reciprocal to each other\r
\n" ); document.write( "\n" ); document.write( "so, find a slope of \"4x%E2%88%925y=%E2%88%9210\" \r
\n" ); document.write( "\n" ); document.write( "\"4x%2B10=5y\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=%284%2F5%29x%2B2\"-> slope is \"4%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "perpendicular line will have a slope \"-1%2F%284%2F5%29=-5%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-%285%2F4%29x%2Bb\".....use given point to find \"b\"\r
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\n" ); document.write( "\n" ); document.write( "\"3=-%285%2F4%296%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2B30%2F4=b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=21%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "your equation is:\r
\n" ); document.write( "\n" ); document.write( "\"y=-%285%2F4%29x%2B21%2F2\"\r
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