The table and equation represent different linear relationships. Which one has the greater rate of change? Explain your reasoning.

Answer:
The equation y=4x-1 has a greater rate of change
Step-by-step explanation:
to find rate of change for the table, you use [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
so, [tex]\frac{-5-(-7)}{-2-(-3)}[/tex] = [tex]\frac{2}{1}[/tex] = 2
So the rate of change for the table is 2 while the rate of change for the equation is 4. 4>2 so the equation has a greater rate of change.