document.write( "Question 625861: Write an equation of the line containing the points (2, -3) and (4, 5). \n" ); document.write( "
Algebra.Com's Answer #393920 by lenny460(1073)\"\" \"About 
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Plot the straight line graph with the following points:\r
\n" ); document.write( "\n" ); document.write( "(2,-3)\r
\n" ); document.write( "\n" ); document.write( "(4,5)\r
\n" ); document.write( "\n" ); document.write( "From the above straight line graph:\r
\n" ); document.write( "\n" ); document.write( "the y-intercept is -11\r
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\n" ); document.write( "\n" ); document.write( "Now let's find the Slope (m)\r
\n" ); document.write( "\n" ); document.write( "(y2 - y2)/(x2 - x1)\r
\n" ); document.write( "\n" ); document.write( "= (-3 - 5)/(2 - 4)\r
\n" ); document.write( "\n" ); document.write( "= -3 - 5 = -8\r
\n" ); document.write( "\n" ); document.write( "= 2 - 4 = -2\r
\n" ); document.write( "\n" ); document.write( "Therefore:\r
\n" ); document.write( "\n" ); document.write( "-8/-2 = 8/2 = 4\r
\n" ); document.write( "\n" ); document.write( "The Slope (m) = 4\r
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\n" ); document.write( "\n" ); document.write( "The other method:\r
\n" ); document.write( "\n" ); document.write( "(5 - (-3)/(4 -2)\r
\n" ); document.write( "\n" ); document.write( "5 - (-3) = 5 + 3 = 8\r
\n" ); document.write( "\n" ); document.write( "4 - 2 = 2\r
\n" ); document.write( "\n" ); document.write( "8/2 = 4\r
\n" ); document.write( "\n" ); document.write( "The Slope (m) = 4\r
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\n" ); document.write( "\n" ); document.write( "We now use the formula:\r
\n" ); document.write( "\n" ); document.write( "y = mx + b\r
\n" ); document.write( "\n" ); document.write( "m = slope = 4\r
\n" ); document.write( "\n" ); document.write( "b = y-intercept = -11\r
\n" ); document.write( "\n" ); document.write( "Therefore:\r
\n" ); document.write( "\n" ); document.write( "y = 4x - 11\r
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\n" ); document.write( "\n" ); document.write( "The Answer:\r
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\n" ); document.write( "\n" ); document.write( "y = 4x - 11\r
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