document.write( "Question 939515: http://www.usatestprep.com/modules/gallery/files/5/519/519.png\r
\n" ); document.write( "\n" ); document.write( "Determine the equation of the line passing through points C and D.
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Algebra.Com's Answer #572549 by MathLover1(20850)\"\" \"About 
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linear equation is: \"y=mx%2Bb\" where \"m\" is a slope and \"b\" is a y-intercept; so, we need \"m\" and \"b\"\r
\n" ); document.write( "\n" ); document.write( "Determine the equation of \r
\n" ); document.write( "\n" ); document.write( "from the graph we see that the line passing through points C =(\"2\",\"-2\") and D=(\"4\",\"0\") which means:\r
\n" ); document.write( "\n" ); document.write( "if \"x=2\" => \"y=-2\"
\n" ); document.write( "and
\n" ); document.write( "if \"x=4\" => \"y=0\"=> a x-intercept \"highlight%28x=4%29\"\r
\n" ); document.write( "\n" ); document.write( "then we will use these points to set the system of two equations to find \"m\" and \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\" ........if \"x=2\",\"y=-2\" we have\r
\n" ); document.write( "\n" ); document.write( "\"-2=m%2A2%2Bb\" ........eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\" ........if (\"4\",\"0\") we have\r
\n" ); document.write( "\n" ); document.write( "\"0=m%2A4%2Bb\" ........eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:\r
\n" ); document.write( "\n" ); document.write( "\"-2=2m%2Bb\" ........eq.1
\n" ); document.write( "\"0=4m%2Bb\" ........eq.2
\n" ); document.write( "----------------------------------------------subtract eq.1 from eq.2
\n" ); document.write( "\"0-%28-2%29=4m%2Bb-2m-b\" \r
\n" ); document.write( "\n" ); document.write( "\"2=2m\" \r
\n" ); document.write( "\n" ); document.write( "\"m=2%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28m=1%29\"\r
\n" ); document.write( "\n" ); document.write( "now find \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"0=4m%2Bb\" ........eq.2\r
\n" ); document.write( "\n" ); document.write( "\"0=4%2A1%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"0=4%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"-4=b\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28b=-4%29\"\r
\n" ); document.write( "\n" ); document.write( "so, your equation is: \"y=x-4\" \r
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