I need help with this :///

9514 1404 393
Answer:
f(x) = -3/2x +5
Step-by-step explanation:
The differences between the x-values are all 2.
The differences between the y-values are all -3.
When the ratios of the differences are constant, the function is linear. The slope is ...
m = Δy/Δx = -3/2
The y-intercept is given by the table value where x=0: b=5.
Then the slope-intercept equation is ...
f(x) = mx +b
f(x) = -3/2x +5