document.write( "Question 1097183: Find a linear function h given h(-3)=3 and h(0)=2. Then find h(-6). Show all work. \n" ); document.write( "

Algebra.Com's Answer #711595 by Fombitz(32388) $\"\"$ $\"About$

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$\"h%28x%29=ax%2Bb\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"h%28-3%29=a%28-3%29%2Bb=3\"$
\n" ); document.write( "1. $\"-3a%2Bb=3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"h%280%29=a%280%29%2Bb=2\"$
\n" ); document.write( "2. $\"b=2\"$
\n" ); document.write( "Substituting into eq. 1,
\n" ); document.write( " $\"-3a%2B2=3\"$
\n" ); document.write( " $\"-3a=1\"$
\n" ); document.write( " $\"a=-1%2F3\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"h%28x%29=-x%2F3%2B2\"$
\n" ); document.write( "When $\"x=-6\"$ ,
\n" ); document.write( " $\"h%28-6%29=-%28-6%29%2F3%2B2=2%2B2=4\"$
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