document.write( "Question 81765: Would someone please explain step by step for me please, so I can see how to set up problem. Thanks\r
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Algebra.Com's Answer #58587 by Edwin McCravy(20056)\"\" \"About 
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Would someone please explain step by step for me please, so I can see how to set up problem. Thanks
\n" ); document.write( "Write the equation of the line with x-intercept (12,0)and y-intercept (0,4).\r
\n" ); document.write( "\n" ); document.write( "1. (12, 0) and (0,4)

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document.write( "We first plot those two points and draw a line \r\n" );
document.write( "through them to find out if it is vertical or\r\n" );
document.write( "not. The equations of all lines can be placed\r\n" );
document.write( "in slope-intercept form except the equations\r\n" );
document.write( "for vertical lines. This is the graph we get:\r\n" );
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document.write( "\"graph%28+300%2C+123%2C+-2%2C+15%2C+-1%2C6%2C++-x%2F3+%2B+4%29\"\r\n" );
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document.write( "We see that it is not vertical. So we can proceed\r\n" );
document.write( "as usual:\r\n" );
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document.write( "We are to find an equation of the line containing \r\n" );
document.write( "the points (12,0) and (0,4)\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) = (12,0) and (x2, y2) = (0,4)\r\n" );
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document.write( "     (4) - (0)      4      -1\r\n" );
document.write( "m = ——————————— = ————— = ———— = \"-1%2F3\"\r\n" );
document.write( "    (0) - (12)     -12      3 \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 - 0 = \"-1%2F3\"(x - (12) )\r\n" );
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document.write( "      y  = \"-1%2F3\"(x - 12)\r\n" );
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document.write( "       y = \"-1%2F3\"x + 4\r\n" );
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document.write( "That's the equation in the slope-intercept\r\n" );
document.write( "form because we can compare it with\r\n" );
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document.write( "       y = mx + b\r\n" );
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document.write( "and see that its slope m is \"-1%2F3\" and its\r\n" );
document.write( "y-intercept (0,b) is the point (0,4)\r\n" );
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document.write( "Edwin
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