Answer:
[tex]y(x)=-\frac{6}{5}x-3[/tex]
Explanation: The slope-intercept form of the linear equation is the standard form, and is written as follows:
[tex]y(x)=mx+b[/tex]
The given equation can be converted into slope-intercept form as follows:
[tex]\begin{gathered} 6x+5y=-15 \\ 5y=-6x-15 \\ y(x)=-\frac{6}{5}x-3 \end{gathered}[/tex]
