document.write( "Question 787462: Let g be a linear function such that g(-1)= -3 and g(-4)= 12\r
\n" ); document.write( "\n" ); document.write( "Find an equation for g(x)\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance! \n" ); document.write( "

Algebra.Com's Answer #478211 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+g%28x%29+=+m%2Ax+%2B+b+\"$
\n" ); document.write( "where $\"+m+\"$ = slope and $\"+b+\"$ = intercept at $\"+x+=+0+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+g%28-1%29+=+m%2A%28-1%29+%2B+b+\"$
\n" ); document.write( "(1) $\"+-3+=+-m+%2B+b+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+g%28-4%29+=+m%2A%28-4%29+%2B+b+\"$
\n" ); document.write( "(2) $\"+12+=+-4m+%2B+b+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+-3+=+-m+%2B+b+\"$
\n" ); document.write( "(2) $\"+-12+=+4m+-+b+\"$
\n" ); document.write( " $\"+-15+=+3m+\"$
\n" ); document.write( " $\"+m+=+-5+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+-3+=+-m+%2B+b+\"$
\n" ); document.write( "(1) $\"+-3+=+-%28-5%29+%2B+b+\"$
\n" ); document.write( "(1) $\"+-3+=+5+%2B+b+\"$
\n" ); document.write( "(1) $\"+b+=+-8+\"$
\n" ); document.write( "-------------
\n" ); document.write( " $\"+g%28x%29+=+-5x+-+8+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+g%28-4%29+=+-5%2A%28-4%29+-+8+\"$
\n" ); document.write( " $\"+g%28-4%29+=+20+-+8+\"$
\n" ); document.write( " $\"+g%28-4%29+=+12+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can check $\"+g%28-1%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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