document.write( "Question 160162: Can you help me with the folowing two questions? Suppose that f is a linear function with slope 4 and that f(3)=5. Find the equation for f. The answer I got was b=-7. Is that right? Do I right the equation f(x)=4(3)-7? \r
\n" ); document.write( "\n" ); document.write( "The 2nd question is: Suppose that f is a linear function such that f(3)=5 and f(7)=-4. Find the equation for f. My answer is I think the slope should be -9/4 but what do I do now?
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Algebra.Com's Answer #118172 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
You got the first part correct.\r
\n" ); document.write( "\n" ); document.write( "The second problem is a slight variation on the first one.
\n" ); document.write( "In the first problem, you were given the slope and a point (3,5). In the second problem, you are just given two points (3,5) and (7, -4). So in the second one, you need to find the slope.
\n" ); document.write( "Slope = \"%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
\n" ); document.write( "\"%28-4+-+5%29%2F%287-3%29\"
\n" ); document.write( "\"-9%2F4\"
\n" ); document.write( "You got that part correct too.\r
\n" ); document.write( "\n" ); document.write( "All you need to do now is the same thing you did in the first part
\n" ); document.write( "\"y+=+mx+%2B+b\"
\n" ); document.write( "\"5+=+%28-9%2F4%29%283%29+%2B+b+\"
\n" ); document.write( "\"5+%2B+27%2F4+=+b+\"
\n" ); document.write( "\"47%2F4+=+b\"
\n" ); document.write( "No plug it in
\n" ); document.write( "\"f%28x%29+=+%28-9%2F4%29x+%2B+47%2F4+\"
\n" ); document.write( "Check your answer. Does it work for the point (7, -4)??
\n" ); document.write( "\"-4+=+%28-9%2F4%29%2A7+%2B+47%2F4\"
\n" ); document.write( "\"-4+=+-63%2F4+%2B+47%2F4\"
\n" ); document.write( "\"-4+=+-16%2F4\"
\n" ); document.write( "\"-4+=+-4\" so it is true. And the equation is correct.\r
\n" ); document.write( "\n" ); document.write( "You were ====> <===== this close. Way to go!
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