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Write the equation for a linear function that satisfies the given conditions f(1)=2 and f(5)=7

Write the equation for a linear function that satisfies the given conditions f(1)=2 and f(5)=7
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Write the equation for a linear function that satisfies the given conditions f(1)=2 and f(5)=7

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User Stephan Leroux
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1 Answer

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f(x) changes by 7-2 = 5 when x changes by 5-1 = 4, so the slope is 5/4. Using point-slope form the equation of the line can be written as
.. y = (5/4)(x -1) +2
Rearranging, this becomes
.. y = (5/4)x +3/4

_____
In standard form, it is
.. 5x -4y = -3
Write the equation for a linear function that satisfies the given conditions f(1)=2 and-example-1
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User RedGiant
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