document.write( "Question 1060097: On a graph 3x-5y=10 find the distance between the graphed slope and the point P(12,6) which is perpendicular to the slope when a line is drawn from point P to the slope. So in essence, I'm looking for the distance from P to the line of 3x-5y=10. Thank you very much \n" ); document.write( "
Algebra.Com's Answer #675089 by josgarithmetic(39618)\"\" \"About 
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The perpendicular distance between line 3x-5y=10 and point P (12,6)\r
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\n" ); document.write( "\n" ); document.write( "Given line has slope \"5%2F3\".
\n" ); document.write( "Line perpendicular to given line and containing P is of equation \"y-6=%285%2F3%29%28x-12%29\".\r
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\n" ); document.write( "\n" ); document.write( "Where do these two lines meet?
\n" ); document.write( "Find intersection of:
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\n" ); document.write( "\"3x-5y=10\"
\n" ); document.write( "\"-5y=10-3x\"
\n" ); document.write( "\"y=-10%2F5%2B3x%2F5\"
\n" ); document.write( "\"y=-2%2B3x%2F5\"
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\n" ); document.write( "\"y-6=5x%2F3-%285%2F3%2912\"
\n" ); document.write( "\"y-6=5x%2F3-20\"
\n" ); document.write( "\"y=5x%2F3-14\"
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\n" ); document.write( "Equating expressions for y,
\n" ); document.write( "\"-2%2B3x%2F5=5x%2F3-14\"
\n" ); document.write( "\"-2%2B14=5x%2F3-3x%2F5\"
\n" ); document.write( "\"12=5x%2F3-3x%2F5\"
\n" ); document.write( "\"12%2A15=25x-9x\"
\n" ); document.write( "\"12%2A15=16x\"
\n" ); document.write( "\"x=%2812%2A15%29%2F4\"
\n" ); document.write( "\"x=45\"
\n" ); document.write( "Use x to evaluate y,
\n" ); document.write( "\"y=5%2A45%2F3-14\"
\n" ); document.write( "\"y=5%2A15-14\"
\n" ); document.write( "\"y=61\"
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\n" ); document.write( "Intersection Point, (45,61).\r
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\n" ); document.write( "\n" ); document.write( "FIND DISTANCE BETWEEN (45, 61) and (12,6).
\n" ); document.write( "\"highlight_green%28sqrt%28%2845-12%29%5E2%2B%2861-6%29%5E2%29%29\"
\n" ); document.write( "\"highlight%28sqrt%284049%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "4049 is a prime number.
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