Here is the table for the values of the function g.

x13579
g(x)-4.5-1.51.54.57.5

Notice that g increases by 3 units for every two-unit increase in x. Therefore, it increases by 1.5 units for every one-unit increase in x. Thus, the slope is

We know that b is the value of g(0).We are not told what g(0) is, but we can compute its value by "backtracking" from g(1), given as -4.5. Since g has increased by 1.5 units as x increased from 0 to 1, g(0) must be given by

We can now put this all togather to obtain

Enter this as 1.5*x-6

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