the table below shows some values for the function f. if f is a linear function, what is the value of a+b?

Question

table:
X | f(x)
0 | a
1 | 12
2 | b

Answer 1

since the function is linear, the slope must be constant for any pair

so (12-a)/(1-0) = (b-12)/(2-1)

12-a = b-12
24 = a+b