document.write( "Question 448805: graph the line that goes through point (3,8) and is parallel to the line whose equation is 6y-10x=30 \n" ); document.write( "

Algebra.Com's Answer #853362 by ikleyn(53614) $\"\"$ $\"About$

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\n" ); document.write( "Graph the line that goes through point (3,8) and is parallel to the line whose equation is 6y-10x=30
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\n" ); document.write( "\n" ); document.write( "The solution in the post by @mananth is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "His final equation y = 1.67x + 3 is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "The point (3,8) does not lie on this line.\r
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\n" ); document.write( "\n" ); document.write( "Indeed, the left side 'y' at this point is 1.67*3 + 3 = 8.01, but not 8, as it should be.\r
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\n" ); document.write( "\n" ); document.write( "See my correct solution below.\r
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document.write( "An equation for the line parallel to 6y - 10x = 30 is\r\n" );
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document.write( "    6y - 10x = c,\r\n" );
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document.write( "where 'c' is some constant.\r\n" );
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document.write( "We find 'c' by substituting the coordinates x= 3, y= 8 into this equation\r\n" );
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document.write( "    c = 6*8 - 10*s = 18.\r\n" );
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document.write( "Thus an equation is 6y - 10x = 18.\r\n" );
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document.write( "In the slope-intercept form it is  y =  + 3,  which is different from the equation found by @mananth.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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\n" ); document.write( "\n" ); document.write( "Simply IGNORE the post by @mananth, since his solution is wrong.\r
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\n" ); document.write( "\n" ); document.write( "Not only this particular problem is solved incorrectly by @mananth.\r
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\n" ); document.write( "\n" ); document.write( "Many other similar problems were solved incorrectly by @mananth.\r
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\n" ); document.write( "\n" ); document.write( "        Incorrectly solved are ALL similar problem, where coefficients of linear equations \r
\n" ); document.write( "\n" ); document.write( "        are / (should be) rational numbers, which can not be presented as finite decimal fractions. \r
\n" ); document.write( "\n" ); document.write( "        Then @mananth, by applying his incorrect algorithm of rounding, makes everything wrong. \r
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\n" ); document.write( "\n" ); document.write( "                        Rounding in such situations IS NOT ALLOWED.\r
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