document.write( "Question 367418: x-4y= -24
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Algebra.Com's Answer #261913 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
x - 4y = -24
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document.write( "Your \"target\" is the slope-intercept form which you should\r\n" );
document.write( "memorize:\r\n" );
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document.write( "\"y+=+mx+%2B+b\"\r\n" );
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document.write( "You first solve the equation for y\r\n" );
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document.write( "\"x+-+4y=+-24\"\r\n" );
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document.write( "Subtract x from both sides:\r\n" );
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document.write( "\"-4y=+-24%2Bx\"\r\n" );
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document.write( "To get rid of the \"-4\" multiply every term by \"-1%2F4\"\r\n" );
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document.write( "\"expr%28-1%2F4%29%28-4y%29=expr%28-1%2F4%29%28-24%29%2Bexpr%281%2F4%29x\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"y+=+6+%2B+expr%281%2F4%29x\"\r\n" );
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document.write( "Swap the terms on the right because you want it to look like y = mx+b\r\n" );
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document.write( "\"y+=+expr%281%2F4%29x%2B6\"\r\n" );
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document.write( "Compare that to \"y=mx%2Bb\"\r\n" );
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document.write( "And you see that \r\n" );
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document.write( "\"m+=1%2F4\" and \"b=6\"\r\n" );
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document.write( "\"m\" is the slope because it determines which way and how much the\r\n" );
document.write( "line slants.  \"b\" is the number on the y-axis where the line\r\n" );
document.write( "crosses the y-axis.\r\n" );
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document.write( "Now I'm going to go further than that, because you're going to have to.\r\n" );
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document.write( "That means the graph of the equation\r\n" );
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document.write( "\"y+=+expr%281%2F4%29x%2B6\"\r\n" );
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document.write( "crosses the y-axis at (0,b) which is (0,6), called\r\n" );
document.write( "the y-intercept.  We plot that point\r\n" );
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document.write( "We take the numerator of the slope \"1%2F4\" which is 1.  The slope\r\n" );
document.write( "is positive so we draw a line 1 unit up from the y-intercept, like this\r\n" );
document.write( "in green:\r\n" );
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document.write( "Now we take the denominator of the slope \"1%2F4\" which is 4.  We draw \r\n" );
document.write( "a line 4 units right from where that green line ended up, like this, also\r\n" );
document.write( "in green:\r\n" );
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document.write( "Next we take a ruler and draw a line through both the y-intercept and the\r\n" );
document.write( "end of that second green line, like this:\r\n" );
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document.write( "That'e the graph of \"y+=+expr%281%2F4%29x%2B6\"\r\n" );
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document.write( "Edwin
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