Step-by-step explanation
Given the points unlabeled point (0,4) and labeled point (3,-5) we can find the slope of the equation
The equation of a line can be gotten using the formula below.
![m=(y_2-y_1)/(x_2-x_1)=(-5-4)/(3-0)=-(9)/(3)=-3](https://img.qammunity.org/2023/formulas/mathematics/college/vkfx51134r3ybmymeykjraw3pofbhwhhvf.png)
Since, (3,-5) is the only labeled point we can have the point-slope equation as;
![\begin{gathered} y-y_1=m(x-x_1) \\ y-(-5)=-3\left(x-3\right) \\ y+5=-3\left(x-3\right) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/o4kzniplrxxfuywdmnfylhdaxkwfu11n9m.png)
Answer: Option A