Answer:
b. linear; y +2 = -5/4(x +9)
Explanation:
From the first line of the table to the second, we have ...
slope = (change in y)/(change in x) = (-7-(-2))/(-5-(-9)) = -5/4
Only one equation shows a slope of -5/4: the second one.
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We know the relation is linear because the same slope can be computed from any pair of lines of the table. In particular, from one row to the next, x changes by the constant value +4 and y changes by the constant value -5.