document.write( "Question 1068458: Suppose f(x) is a linear function such that f(-1/2) = -7 and f(1) = -3. What is f(-3)? Thank you!
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Algebra.Com's Answer #683667 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "That's just a fancy way of asking this question:\r\n" );
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document.write( "What is the equation of the line that passes through the two points \r\n" );
document.write( "\"%28matrix%281%2C3%2C-1%2F2%2C%22%2C%22%2C-7%29%29\" and \"%28matrix%281%2C3%2C1%2C%22%2C%22%2C-3%29%29\",\r\n" );
document.write( "then what is y when x = -3?\r\n" );
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document.write( "First use the slope formula:\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28%28-3%29-%28-7%29%29%2F%28%281%29-%28-1%2F2%29%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28-3%2B7%29%2F%281%2B1%2F2%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28-3%2B7%29%2F%282%2F2%2B1%2F2%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"4%2F%283%2F2%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"4\"\"%22%F7%22\"\"3%2F2\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"4\"\"%22%22%2A%22%22\"\"2%2F3\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"8%2F3\"\r\n" );
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document.write( "Then substitute in the point-slope formula:\r\n" );
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document.write( "\"y-y%5B1%5D\"\"%22%22=%22%22\"\"m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y-%28-7%29\"\"%22%22=%22%22\"\"expr%288%2F3%29%28x-%28-1%2F2%29%5E%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"y%2B7\"\"%22%22=%22%22\"\"expr%288%2F3%29%28x%2B1%2F2%29\"\r\n" );
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document.write( "Multiply both sides through by 3\r\n" );
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document.write( "\"3y%2B21\"\"%22%22=%22%22\"\"8%28x%2B1%2F2%29\"\r\n" );
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document.write( "\"3y%2B21\"\"%22%22=%22%22\"\"8x%2B4\"\r\n" );
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document.write( "Solve for y\r\n" );
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document.write( "\"3y\"\"%22%22=%22%22\"\"8x-17\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"expr%288%2F3%29x-17%2F3\"\r\n" );
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document.write( "Finally substitute f(x) for y:\r\n" );
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document.write( "\"%22f%28x%29%22\"\"%22%22=%22%22\"\"expr%288%2F3%29x-17%2F3\"\r\n" );
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document.write( "Then substitute -3 for x:\r\n" );
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document.write( "\"%22f%28-3%29%22\"\"%22%22=%22%22\"\"expr%288%2F3%29%28-3%29-17%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22f%28-3%29%22\"\"%22%22=%22%22\"\"-8-17%2F3\"\r\n" );
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document.write( "\"%22f%28-3%29%22\"\"%22%22=%22%22\"\"-24%2F3-17%2F3\"\r\n" );
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document.write( "\"%22f%28-3%29%22\"\"%22%22=%22%22\"\"-41%2F3\"\r\n" );
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document.write( "Edwin
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