document.write( "Question 413665: Find a linear function h such that h(-1)=-5 and h(7)=-6. What is h(3/2)? \n" ); document.write( "
Algebra.Com's Answer #290258 by Edwin McCravy(20055)\"\" \"About 
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Find a linear function h such that h(-1)=-5 and h(7)=-6. What is h(3/2)?
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document.write( "First you interpret it as this problems:\r\n" );
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document.write( "Find the equation of the line that passes through the two points\r\n" );
document.write( "(-1,-5) and (7,-6).  \r\n" );
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document.write( "Use the slope formula: \r\n" );
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document.write( "     y2 - y1      (-6) - (-5)      -6 + 5     -1 \r\n" );
document.write( "m = ---------- = -------------- = -------- = ----- = \"-1%2F8\"\r\n" );
document.write( "     x2 - x1        7 - (-1)        7 + 1      8\r\n" );
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document.write( "Then use 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 - (-5) = \"-1%2F8\"(x - (-1) )\r\n" );
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document.write( "   y + 5 = \"-1%2F8\"(x + 1)\r\n" );
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document.write( "   y + 5 = \"-1%2F8\"x - \"1%2F8\"\r\n" );
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document.write( "       y = \"-1%2F8\"x - \"1%2F8\" - 5\r\n" );
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document.write( "       y = \"-1%2F8\"x - \"1%2F8\" - \"40%2F8\"\r\n" );
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document.write( "       y = \"-1%2F8\"x - \"41%2F8\"\r\n" );
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document.write( "Now replace y by h(x)\r\n" );
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document.write( "    h(x) = \"-1%2F8\"x - \"41%2F8\"\r\n" );
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document.write( "That's the first part.\r\n" );
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\n" ); document.write( "What is h(\"3%2F2\")?
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document.write( "Substitute \"3%2F2\" for x in\r\n" );
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document.write( "    h(x) = \"-1%2F8\"x - \"41%2F8\"\r\n" );
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document.write( "    h(\"3%2F2\") = \"-1%2F8\"\"%283%2F2%29\" - \"41%2F8\"\r\n" );
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document.write( "    h(\"3%2F2\") = \"-3%2F16\" - \"41%2F8\" \r\n" );
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document.write( "    h(\"3%2F2\") = \"-3%2F16\" - \"82%2F16\"\r\n" );
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document.write( "    h(\"3%2F2\") = \"-85%2F16\"  \r\n" );
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document.write( "Edwin
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