document.write( "Question 59576This question is from textbook The Learning Equation
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Algebra.Com's Answer #40832 by Edwin McCravy(20060)\"\" \"About 
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A line passes through (-4,2) and has the same y-intercept as 2x-y=3.
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document.write( "First we get 2x - y = 3 into slope-y-intercept form y = mx + b\r\n" );
document.write( "by solving it for y\r\n" );
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document.write( "       2x - y = 3\r\n" );
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document.write( "Add -2x to both sides\r\n" );
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document.write( "           -y = 3 - 2x\r\n" );
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document.write( "Divide through by -1\r\n" );
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document.write( "            y = -3 + 2x\r\n" );
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document.write( "Reverse the order of the terms on the right\r\n" );
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document.write( "            y = 2x - 3\r\n" );
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document.write( "Now we can compare that to\r\n" );
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document.write( "            y = mx + b\r\n" );
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document.write( "and see that its slope is m = 2 and its\r\n" );
document.write( "y-intercept is b = -3. We don't need its\r\n" );
document.write( "slope but we do need its y-intercept b = -3\r\n" );
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document.write( "This means the the line that we are looking for\r\n" );
document.write( "also crosses the y-axis at the point (0, -3).  \r\n" );
document.write( "That means the problem is now this one:\r\n" );
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document.write( "Find the equation of the line that passes\r\n" );
document.write( "through the two points (-4, 2) and (0, -3).\r\n" );
document.write( "We 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, 2) \r\n" );
document.write( "and (x2, y2) = (0, -3)\r\n" );
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document.write( "     (-3) - (2)     -5\r\n" );
document.write( "m = ------------ = ----- = -5/4 \r\n" );
document.write( "     (0) - (-4)      4\r\n" );
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document.write( "Then we can either use the point-slope\r\n" );
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document.write( "y - y1 = m(x - x1)\r\n" );
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document.write( "or the slope-y-intercept\r\n" );
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document.write( "y = mx + b\r\n" );
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document.write( "either way we end up with \r\n" );
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document.write( "y = -5/4x - 3\r\n" );
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document.write( "To put this in standard form, we\r\n" );
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document.write( "1. Clear of fractions\r\n" );
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document.write( "2. Get the x term first, the y term\r\n" );
document.write( "   second, the equal sign third, and\r\n" );
document.write( "   the constant term fourth.\r\n" );
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document.write( "3.  If the x term has a negative\r\n" );
document.write( "    coefficient, multiply through by \r\n" );
document.write( "    -1 to make it positive.\r\n" );
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document.write( "y = -5/4x - 3\r\n" );
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document.write( "Multiply through by 4\r\n" );
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document.write( "4y = -5x - 12\r\n" );
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document.write( "Add 5x to both sides\r\n" );
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document.write( "5x + 4y = -12\r\n" );
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document.write( "Edwin
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