document.write( "Question 56889This question is from textbook Beginning Algebra
\n" ); document.write( ": Can someone help me on this problem?\r
\n" ); document.write( "\n" ); document.write( " I need to write the equation of the line passing through the given pairs of points. I need to write the result in slope-intercept form, where possible.\r
\n" ); document.write( "\n" ); document.write( " (3, -2) and (6, 4)\r
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Algebra.Com's Answer #38614 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Can someone help me on this problem? \r\n" );
document.write( "I need to write the equation of the line \r\n" );
document.write( "passing through the given pairs of points. \r\n" );
document.write( "I need to write the result in slope-intercept \r\n" );
document.write( "form, where possible. \r\n" );
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document.write( "(3, -2) and (6, 4) \r\n" );
document.write( "Thanks,\r\n" );
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document.write( "You need two formulas:\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( "gives the slope m of the line that passes \r\n" );
document.write( "through the two points (x1, y1) and (x2, y2)\r\n" );
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document.write( "Then after calculating m, you substitute that \r\n" );
document.write( "and the values of x1 and y1 into the \r\n" );
document.write( "point-slope equation, which is:\r\n" );
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document.write( "y - y1 = m(x - x1)\r\n" );
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document.write( "Then solve for y.\r\n" );
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document.write( "Substitute (x1, y1) = (3, -2) and \r\n" );
document.write( "(x2, y2) = (6, 4) into\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( "and you'll get m = 2\r\n" );
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document.write( "Then substitute x1 = 3, y1 = -2, and\r\n" );
document.write( "m = 2 into\r\n" );
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document.write( "y - y1 = m(x - x1)\r\n" );
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document.write( "leaving x and y as variables,\r\n" );
document.write( "and solve for y, and you'll get \r\n" );
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document.write( "y = 2x - 8\r\n" );
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document.write( "This is the slope-intercept form\r\n" );
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document.write( "y = mx + b\r\n" );
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document.write( "because the slope is m = 2 and the \r\n" );
document.write( "y-intercept is -8.\r\n" );
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document.write( "Edwin
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