find the rate of change represented by the data in the table below.\nrate of change = \nrate of change…

find the rate of change represented by the data in the table below.\nrate of change = \nrate of change: \\frac{change in y}{change in x}

find the rate of change represented by the data in the table below.\nrate of change = \nrate of change: \\frac{change in y}{change in x}

Answer

Explanation:

Step1: Select two points

Let's take the points ((x_1,y_1)=(0, - 4)) and ((x_2,y_2)=(4,-7)).

Step2: Calculate the change in (y)

(\Delta y=y_2 - y_1=-7-(-4)=-7 + 4=-3)

Step3: Calculate the change in (x)

(\Delta x=x_2 - x_1=4 - 0=4)

Step4: Find the rate of change

The rate of change (=\frac{\Delta y}{\Delta x}=\frac{-3}{4})

Answer:

(\frac{3}{4})