document.write( "Question 74571: What is the equation in slope intercept form of the line that goes through the coordinates of (-4,6) (8,12)? \n" ); document.write( "
Algebra.Com's Answer #53538 by Edwin McCravy(20086)\"\" \"About 
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What is the equation in slope intercept\r\n" );
document.write( "form of the line that goes through the coordinates of \r\n" );
document.write( "(-4,6) (8,12)?\r\n" );
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document.write( "Use the slope formula:\r\n" );
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document.write( "     y2 - y1\r\n" );
document.write( "m = —————————\r\n" );
document.write( "     x2 - x1\r\n" );
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document.write( "where (x1, y1) = (-4, 6) and (x2, y2) = (8, 12)\r\n" );
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document.write( "     (12) - (6)      6      6\r\n" );
document.write( "m = ———————————— = ————— = ———— = 1/2\r\n" );
document.write( "     (8) - (-4)     8+4     12 \r\n" );
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document.write( "Now substitute in the point slope formula:\r\n" );
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document.write( "   y - y1 = m(x - x1)\r\n" );
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document.write( "   y - 6 = (1/2)[x - (-4)]\r\n" );
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document.write( "Multiply both sides by LCD = 2\r\n" );
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document.write( "2(y - 6) = 2(1/2)(x + 4)\r\n" );
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document.write( " 2y - 12 = 1(x + 4)\r\n" );
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document.write( " 2y - 12 = x + 4\r\n" );
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document.write( "      2y = x + 16\r\n" );
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document.write( "Multiply thru by 1/2\r\n" );
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document.write( "       y = (1/2)x + 8       \r\n" );
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document.write( "Edwin
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