document.write( "Question 1083157: A line has a y-intercept of 8 and an x-intercept of -12. what is the shortest distance from the origin to this line, to the nearest tenth? \n" ); document.write( "
Algebra.Com's Answer #697172 by josgarithmetic(39618)\"\" \"About 
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A line has a y-intercept of 8 and an x-intercept of -12.
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\n" ); document.write( "\n" ); document.write( "\"m=8%2F12=2%2F3\";
\n" ); document.write( "\"y=%282%2F3%29x%2B8\"------equation for the described given line\r
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\n" ); document.write( "\n" ); document.write( "Line from the origin (0,0), perpendicular to given line:
\n" ); document.write( "\"y=-%283%2F2%29x\"\r
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\n" ); document.write( "\n" ); document.write( "Their intersection
\n" ); document.write( "\"%282%2F3%29x%2B8=-%283%2F2%29x\"
\n" ); document.write( "\"%282%2F3%2B3%2F2%29x=-8\"
\n" ); document.write( "\"%284%2F6%2B9%2F6%29x=-8\"
\n" ); document.write( "\"%2813%2F6%29x=-8\"
\n" ); document.write( "\"x=-8%286%2F13%29\"
\n" ); document.write( "\"x=-48%2F13\"
\n" ); document.write( "-
\n" ); document.write( "\"y=-%283%2F2%29%28-48%2F13%29\"
\n" ); document.write( "\"y=%283%2A48%29%2F%282%2A13%29\"
\n" ); document.write( "\"y=3%2A24%2F13\"
\n" ); document.write( "\"y=72%2F13\"
\n" ); document.write( "-\r
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\n" ); document.write( "\n" ); document.write( "Distance from origin
\n" ); document.write( "\"sqrt%28%2848%2F13%29%5E2%2B%2872%2F13%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F13%29sqrt%2848%5E2%2B72%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F13%29sqrt%287488%29\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28%281%2F13%29%2A24%2Asqrt%2813%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "7488
\n" ); document.write( "832*9
\n" ); document.write( "4*208*9
\n" ); document.write( "4*4*52*9
\n" ); document.write( "4*4*4*13*9
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