document.write( "Question 686822: In my math book the directions say ; Write an equation for a linear function f that has the given values. Example number 24 ; f(-2)=-2, f(4)=-8
\n" ); document.write( "I dont understand how to do this, could you explain it step by step & why? Thank you.
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Algebra.Com's Answer #424900 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Given:
\n" ); document.write( "\"+f%28-2%29+=+-2+\"
\n" ); document.write( "\"+f%284%29+=+-8+\"
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\n" ); document.write( "A linear equation will have the form
\n" ); document.write( "\"+f%28x%29+=+m%2Ax+%2B+b+\"
\n" ); document.write( "\"+f%28-2%29+=+m%2A%28-2%29+%2B+b+\"
\n" ); document.write( "(1) \"+-2+=+m%2A%28-2%29+%2B+b+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+f%284%29+=+m%2A4+%2B+b+\"
\n" ); document.write( "(2) \"+-8+=+m%2A4+%2B+b+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Now I have 2 equations with
\n" ); document.write( "2 unknowns, so it's solvable
\n" ); document.write( "(1) \"+-2+=+m%2A%28-2%29+%2B+b+\"
\n" ); document.write( "(1) \"+-2m+%2B+b+=+-2+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+-8+=+m%2A4+%2B+b+\"
\n" ); document.write( "(2) \"+4m+%2B+b+=+-8+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+4m+%2B+b+=+-8+\"
\n" ); document.write( "(1) \"+-%28-2m%29+-+b+=+-%28-2%29+\"
\n" ); document.write( "\"+6m+=+-6+\"
\n" ); document.write( "\"+m+=+-1+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+-2m+%2B+b+=+-2+\"
\n" ); document.write( "(1) \"+-2%2A%28-1%29+%2B+b+=+-2+\"
\n" ); document.write( "(1) \"+2+%2B+b+=+-2+\"
\n" ); document.write( "(1) \"+b+=+-4+\"
\n" ); document.write( "The function is:
\n" ); document.write( "\"+f%28x%29+=+-x+-+4+\"
\n" ); document.write( "---------------
\n" ); document.write( "check answer:
\n" ); document.write( "\"+f%28-2%29+=+-%28-2%29+-+4+\"
\n" ); document.write( "\"+f%28-2%29+=+-2+\"
\n" ); document.write( "OK
\n" ); document.write( "\"+f%284%29+=+-4+-+4+\"
\n" ); document.write( "\"+f%284%29+=+-8+\"
\n" ); document.write( "OK\r
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