Question 70096
–8x – 5y = –45 

To re-write this as a function the basic process is to solve for y and then replace
y with f(x)
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So let's begin by solving it for y.  First you can start by adding 8x to both sides.
On the left side this has the effect of canceling out the -8x.  On the right side it makes
a +8x appear.  So by adding 8x to both sides the equation becomes:
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 {{{-5y = 8x - 45}}}
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Now, to get just y on the left side let's divide all the terms on both sides by the -5 
that is the multiplier of y. When you do that you get:
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{{{y = ((8x)/-5) - 45/(-5)}}}
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Performing the division on the right side results in:

{{{y = -(8/5)* x -(-9)}}} 
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and this further simplifies to:
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{{{y = -(8/5)*x + 9}}}
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Finish the problem by replacing y with f(x) to make the equation:
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{{{f(x) = -(8/5)*x + 9}}}
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This is the answer you are looking for.
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Please check the above work.  The basic process is OK, but make sure I didn't accidentally
make any math errors.
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Hope this helps you to understand how to change the standard form of an equation into the
f(x) form.