Answer:
C.
Step-by-step explanation:
Given the points (0,7) and (4,-13)
We calculate the slope using the formula below:
![\text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}](https://img.qammunity.org/2023/formulas/mathematics/college/s27136p9hs6cyusyc8wbmudzwkoxiti5dm.png)
Substituting the points, we have:
![\begin{gathered} \text{Slope}=(-13-7)/(4-0) \\ =(-20)/(4) \\ =-5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tcawfcg47upyisndmcnojen5yru51vjq4n.png)
The slope of the line is -5.
The y-intercept is the value of y when x=0
Therefore, the y-intercept is (0,7).