document.write( "Question 444813: I need to find the equation of the line containg (-2, -7) and (-5, -8) \n" ); document.write( "

Algebra.Com's Answer #853306 by ikleyn(53419) $\"\"$ $\"About$

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\n" ); document.write( "I need to find the equation of the line containing (-2, -7) and (-5, -8)
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\n" ); document.write( "\n" ); document.write( "        This problem requires an exact solution in the form of an equation expressed in rational numbers.\r
\n" ); document.write( "\n" ); document.write( "        But @mananth in his post works with decimal numbers with two decimals after the decimal point.\r
\n" ); document.write( "\n" ); document.write( "        It does not produces an exact equation in precise form.\r
\n" ); document.write( "\n" ); document.write( "        So, what he presents as a solution, is not a solution in precise strict meaning \r
\n" ); document.write( "\n" ); document.write( "        and can not be accepted as a solution to the problem.\r
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\n" ); document.write( "\n" ); document.write( "        Below I develop EXACT equation in the form as it SHOULD be done.\r
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document.write( "Calculate the slope  m =  =  =  = 0.3333333...\r\n" );
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document.write( "So, an equation of the line in slope-intercept form is\r\n" );
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document.write( "    y = mx + b =  + b.\r\n" );
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document.write( "We should determine the value of 'b' in this equation. \r\n" );
document.write( "For it, substitute coordinates of the either given point into the equation\r\n" );
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document.write( "    -7 =  + b,\r\n" );
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document.write( "    -7 =  + b,\r\n" );
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document.write( "    b = -7 +  = -6 = .\r\n" );
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document.write( "The exact equation is\r\n" );
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document.write( "    y = .\r\n" );
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document.write( "At this point, the problem solved PRECISELY and CORRECTLY.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "I know (I just deciphered it out for myself some time ago) that solutions by @mananth
\n" ); document.write( "are produced by the computer code.\r
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\n" ); document.write( "\n" ); document.write( "Detecting this error (I just detected it for the second time) means that the computer code
\n" ); document.write( "has a defect (= a hole), which should be fixed.\r
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