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
[tex]\begin{gathered} 6x-5y=15 \\ -5y=15-6x \\ 5y=6x-15 \\ y=\frac{6}{5}x-3 \end{gathered}[/tex]2. after having the slope find the y-intercept using the point given (5,4)
[tex]\begin{gathered} y=\frac{6}{5}x+b \\ 4=\frac{6}{5}\cdot(5)+b \\ 4=6+b \\ 4-6=b \\ -2=b \end{gathered}[/tex]3. rewrite the equation
[tex]y=\frac{6}{5}x-2[/tex]