document.write( "Question 441613: Write an equation that satisfies the given conditions: f(0)=12,f(3)=-2 \n" ); document.write( "
Algebra.Com's Answer #304768 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Write an equation that satisfies the given conditions: f(0)=12,f(3)=-2
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document.write( "That's the same as this problem:\r\n" );
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document.write( "Write the equation of the line that passes through the points\r\n" );
document.write( "(0,12) and (3,-2), then change the y to f(x).\r\n" );
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document.write( "Use the slope formula:\r\n" );
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document.write( "\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-2-12%29%2F%283-0%29+=+-14%2F3\"\r\n" );
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document.write( "Then use the point-slope formula:\r\n" );
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document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y-12=expr%28-14%2F3%29%28x-0%29\"\r\n" );
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document.write( "\"y-12=expr%28-14%2F3%29x\"\r\n" );
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document.write( "\"y=expr%28-14%2F3%29x%2B12\"\r\n" );
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document.write( "Now write f(x) for y:\r\n" );
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document.write( "\"f%28x%29=expr%28-14%2F3%29x%2B12\"\r\n" );
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document.write( "-----------------------------\r\n" );
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document.write( "Checking:\r\n" );
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document.write( "\"f%28x%29=expr%28-14%2F3%29x%2B12\"\r\n" );
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document.write( "Substitute 0 for x\r\n" );
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document.write( "\"f%280%29=expr%28-14%2F3%29%280%29%2B12\"\r\n" );
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document.write( "\"f%280%29=0%2B12\"\r\n" );
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document.write( "\"f%280%29=12\"\r\n" );
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document.write( "That checks.\r\n" );
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document.write( "Substitute 3 for x\r\n" );
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document.write( "\"f%283%29=expr%28-14%2F3%29%283%29%2B12\"\r\n" );
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document.write( "\"f%283%29=expr%28-14%2Fcross%283%29%29%28cross%283%29%29%2B12\"\r\n" );
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document.write( "\"f%283%29=-14%2B12\"\r\n" );
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document.write( "\"f%283%29=-2\"\r\n" );
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document.write( "That checks, so we're right.\r\n" );
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document.write( "Edwin
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