Recall that the slope-point form of the equation of a line is:
![y=mx+b,](https://img.qammunity.org/2023/formulas/mathematics/college/4dutw7uwqnrl059bgov2p1mbj6cypja7zr.png)
where m is the slope, and b is the y-intercept ( or the y-entry if given in ordered pair form).
We are given that:
![\begin{gathered} m=4, \\ b=-8. \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f43peq5jfamjnl7tbeo7ylfmdxvf4bha09.png)
Therefore, the equation of the line with slope 4 and y-intercept (0,-8) is:
![y=4x-8.](https://img.qammunity.org/2023/formulas/mathematics/college/rsbt4bqor9qg6mvo8duj91sgfv1rt61pya.png)
Answer:
![y=4x-8.](https://img.qammunity.org/2023/formulas/mathematics/college/rsbt4bqor9qg6mvo8duj91sgfv1rt61pya.png)