since the line that is wanted is parallel to the one given means that it has the same slope as this one.
1. write the line given in the slope-intercept form
![\begin{gathered} 6x-5y=15 \\ -5y=15-6x \\ 5y=6x-15 \\ y=(6)/(5)x-3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/bjq8dprcynlydem7yd0bvv9jmkianes2ne.png)
2. after having the slope find the y-intercept using the point given (5,4)
![\begin{gathered} y=(6)/(5)x+b \\ 4=(6)/(5)\cdot(5)+b \\ 4=6+b \\ 4-6=b \\ -2=b \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/en6ldbpb3to7msgk15lodfi7brzbxp9mt3.png)
3. rewrite the equation
![y=(6)/(5)x-2](https://img.qammunity.org/2023/formulas/mathematics/college/hufoeyrpnmoscin2hd15iakh7k3k6sjwhb.png)