Question

Hey I need help on this math problem thank you

Answer 1

From the image below we will bring out two coordinates we are going to use to calculate the rate of change of the graph

The coordinates are given below as

`\begin{gathered} (x_1,y_1)\Rightarrow(2,4) \\ (x_2,y_2)\Rightarrow(-2,0) \end{gathered}`

Concept:

The rate of change will be calculated using the formula below

`\begin{gathered} \text{rate of change =}\frac{change\text{ in y}}{\text{change in x}} \\ \text{rate of change}=(y_2-y_1)/(x_2-x_1) \end{gathered}`

By substituting the values, we will have

`\begin{gathered} \text{rate of change}=(y_2-y_1)/(x_2-x_1) \\ \text{rate of change}=\frac{_{}0-4_{}}{-2_{}-2_{}} \\ \text{rate of change}=(-4)/(-4) \\ \text{rate of change}=1 \end{gathered}`

Hence,

The rate of change = 1