document.write( "Question 131153: Find the standard form of the equation of the line with slope -2 and y-intercept -4.\r
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\n" ); document.write( "\n" ); document.write( "Choices are:\r
\n" ); document.write( "\n" ); document.write( "8x+4y=-16 \r
\n" ); document.write( "\n" ); document.write( "y=-2x+4 \r
\n" ); document.write( "\n" ); document.write( "-8x-16y=4 \r
\n" ); document.write( "\n" ); document.write( "4x+8y=-16 \n" ); document.write( "

Algebra.Com's Answer #95766 by Edwin McCravy(20060) $\"\"$ $\"About$

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Find the standard form of the equation of the line with slope -2 and y-intercept -4.\r
\n" ); document.write( "\n" ); document.write( "Choices are:\r
\n" ); document.write( "\n" ); document.write( "8x+4y=-16 \r
\n" ); document.write( "\n" ); document.write( "y=-2x+4 \r
\n" ); document.write( "\n" ); document.write( "-8x-16y=4 \r
\n" ); document.write( "\n" ); document.write( "4x+8y=-16
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document.write( "First find the slope intercept form, which is\r\n" );
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document.write( "y = mx + b\r\n" );
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document.write( "where m = slope and b = y-intercept\r\n" );
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document.write( "So for this problem, m = -2 and b = -4, thus\r\n" );
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document.write( "y = mx + b\r\n" );
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document.write( "becomes\r\n" );
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document.write( "y = (-2)x + (-4)\r\n" );
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document.write( "or\r\n" );
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document.write( "y = -2x - 4\r\n" );
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document.write( "Now we change it to the standard form Ax + By = C\r\n" );
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document.write( "by adding 2x to both sides\r\n" );
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document.write( "     y = -2x - 4\r\n" );
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document.write( "2x + y = -4\r\n" );
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document.write( "That's it in simplest standard form!  But, alas,\r\n" );
document.write( "that's not any one of the choices given!  However,\r\n" );
document.write( "if we multiply that equation though by 4, we get\r\n" );
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document.write( "8x + 4y = -16\r\n" );
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document.write( "which is the only choice given that is equivalent \r\n" );
document.write( "to 2x + y = -4\r\n" );
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document.write( "That IS in general form Ax + By = C, just not in\r\n" );
document.write( "the simplest general form.  Nevertheless, \r\n" );
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document.write( "8x + 4y = -16\r\n" );
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document.write( "is the only choice which could be correct, even \r\n" );
document.write( "though that is not in simplest possible standard \r\n" );
document.write( "form.  But the other choices are not even \r\n" );
document.write( "equivalent to 2x + y = -4.\r\n" );
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document.write( "Edwin

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