document.write( "Question 1189952: Given h(x)=x^3 +1, find the equation of the secant line passing through (-3, h(-3)) and (1, h (1)). Write your answer in the form y=mx+b.
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Algebra.Com's Answer #821465 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Given: \r
\n" ); document.write( "\n" ); document.write( "\"h%28x%29=x%5E3+%2B1\"\r
\n" ); document.write( "\n" ); document.write( "the secant line passing through (\"-3\", \"h%28-3%29\") and (\"1\", \"h%281%29\")\r
\n" ); document.write( "\n" ); document.write( "find: the equation of the secant line \r
\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\"\r
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\n" ); document.write( "\n" ); document.write( "first find \"h%28-3%29\" and \"h+%281%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h%28-3%29=%28-3%29%5E3+%2B1\"
\n" ); document.write( "\"h%28-3%29=-26\"\r
\n" ); document.write( "\n" ); document.write( "\"h%281%29=%281%29%5E3+%2B1\"
\n" ); document.write( "\"h%281%29=+2\"\r
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\n" ); document.write( "\n" ); document.write( "line passing through (\"-3\", \"-26\") and (\"1\",\"+2\")\r
\n" ); document.write( "\n" ); document.write( "find a slope\r
\n" ); document.write( "\n" ); document.write( "\"m=%282-%28-26%29%29%2F%281-%28-3%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=%282%2B26%29%2F%281%2B3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=28%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"m=7\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=7x%2Bb\".........use one point to calculate \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"2=7%2A1%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"b=2-7\"\r
\n" ); document.write( "\n" ); document.write( "\"b=-5\"\r
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\n" ); document.write( "\n" ); document.write( " the equation of the secant line is:\r
\n" ); document.write( "\n" ); document.write( "\"y=7x-5\"\r
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