Finite mathematics question 24

label Mathematics
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Find the constants m and b in the linear function

f(x) = mx + b

so that

f(0) = 5

and

f(3) = - 4

Oct 13th, 2015

Thank you for the opportunity to help you with your question!

f(0)=5   x=0

f(3)=-4   x=-4

To solve for m and b we substitute the values of x as shown below:

5=m(0) + b  here it implies b=5

substitute b in equation below:

-4=m(3) +b

-4=m(3) +5

3m=-9

m=-3

Therefore, m=-3 and b=5

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 13th, 2015

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