Question

Use the table below to determine whether​ f(x) could represent a linear function. If it​ could, write​ f(x) in the form ​f(x)equalsmxplusb.
x
minus2
0
2
4
​f(x)
7
2
negative 3
negative 8
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Part 1
Select the correct choice​ and, if​ necessary, fill in the answer box in your choice below.

Answer 1

Yes. The slope between consecutive points is constant:
m = (2−7)/(0−(−2)) = −5/2, (−3−2)/(2−0) = −5/2, (−8−(−3))/(4−2) = −5/2.

Using (0,2) gives b = 2. So
f(x) = −(5/2)x + 2.