Answer:
![y=(1)/(4)x-2](https://img.qammunity.org/2020/formulas/mathematics/high-school/1zq9ow1kpwb48hjhxv5o3i1snsgugxtq3c.png)
Explanation:
We are given that a coordinate plane with line passing through the points (0,-2) and (4,-1).
We have to find the equation which represents the graphed function.
We know that
The equation of line which passing through two points is given by
![y-y_1=((y_2-y_1)/(x_2-x_1)(x-x_1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b0grgs0qymudzu7xmy9qxp0euspp7x59tl.png)
Now using this formula ,
Then, the equation of line which passing through the point (0,-2) and (4,-1) is given by
![y-(-2)=((-1+2)/(4-0))(x-0)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f3ji9gs05hq130l6h962a6qofbiif4epzd.png)
![y+2=(1)/(4)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3anz738w7n8yx4sbtxrssdh5w5cfx9ddkp.png)
![y=(1)/(4)x-2](https://img.qammunity.org/2020/formulas/mathematics/high-school/1zq9ow1kpwb48hjhxv5o3i1snsgugxtq3c.png)
Hence, the equation that represents the graphed function is given by
![y=(1)/(4)x-2](https://img.qammunity.org/2020/formulas/mathematics/high-school/1zq9ow1kpwb48hjhxv5o3i1snsgugxtq3c.png)