What is the rate of change of y with respect to x got this function

Answer:
B
Step-by-step explanation:
The rate of change of a linear function is the slope m
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 12) and (x₂, y₂ ) = (0, 3) ← 2 points on the table
m = [tex]\frac{3-12}{0+2}[/tex] = [tex]\frac{-9}{2}[/tex] = - [tex]\frac{9}{2}[/tex]