document.write( "Question 964026: Find the minimum distance the line 2x - 3y + 6 = 0 is from the origin. \n" ); document.write( "
Algebra.Com's Answer #588918 by josgarithmetic(39625)\"\" \"About 
You can put this solution on YOUR website!
\"-3y%2B6=-2x\"
\n" ); document.write( "\"-3y=-2x-6\"
\n" ); document.write( "\"y=%282%2F3%29x%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "The line is above the origin where x=0.\r
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\n" ); document.write( "\n" ); document.write( "Find the line containing the origin and having slope \"-3%2F2\".
\n" ); document.write( "\"y-0=-%283%2F2%29%28x-0%29\"
\n" ); document.write( "\"y=-3x%2F2\".\r
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\n" ); document.write( "\n" ); document.write( "Find the intersection point of \"y=-3x%2F2\" and \"y=%282%2F3%29x%2B2\".
\n" ); document.write( "\"-3x%2F2=2x%2F3%2B2\"
\n" ); document.write( "\"-9x=4x%2B12\"
\n" ); document.write( "\"-9x-4x=12\"
\n" ); document.write( "\"-13x=12\"
\n" ); document.write( "\"x=-12%2F13\"
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\n" ); document.write( "\"y=-3%2A%28-12%2F13%29%2F2\"
\n" ); document.write( "\"3%2A%2812%2F13%29%2F2\"
\n" ); document.write( "\"y=3%2A6%2F13\"
\n" ); document.write( "\"y=18%2F13\"
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\n" ); document.write( "Intersection point, \"x=-12%2F13\", \"y=18%2F13\";\r
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\n" ); document.write( "\n" ); document.write( "Use either Pythagorean Theorem or the Distance formula to find length or distance from (0,0) to (-12/13, 18/13).\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%2812%2F13%29%5E2%2B%2818%2F13%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28144%2F13%5E2%29%2B%2818%5E2%2F13%5E2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28144%2F13%5E2%29%2B%28324%2F13%5E2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28468%2F13%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F13%29sqrt%28468%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28117%2A4%29%2F13\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2813%2A9%2A4%29%2F13\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%2A2%2Asqrt%2813%29%2F13\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%286%2Asqrt%2813%29%2F13%29\"
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