Answer:
3
Step-by-step explanation:
The slope of a line is the rate of change
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 12 ) and (x₂, y₂ ) = (0, 4) ← 2 ordered pairs from the table
m = [tex]\frac{4-12}{0-2}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4
y = 7x + 4 ← is in slope- intercept form
with slope m = 7
Difference between rates of change = 7 - 4 = 3
