SOLUTION: Determine f(x) if f(x+2) – f(x-3)=20 and the point (-2, 6) lies on the line

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Question 187097: Determine f(x) if f(x+2) – f(x-3)=20 and the point (-2, 6) lies on the line
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The first thing to realize is that if f( x ) were non-linear, then:



would be some function of x rather than a constant. Hence f( x ) is linear.

Given that, we can use the point-slope form of the equation of a line to derive an equation for the line.





So:



And:



And then:




So:



Now:



Check the answer:







and 22 - 2 = 20.

John