We need to rewrite the expression of the line in the slope-intercept form. This form is given by the following expression:
[tex]y=m\cdot x+b[/tex]So to find it we need to isolate the y variable on the left side of the equation.
[tex]\begin{gathered} 5x+2y=12 \\ 2y=12-5x \\ y=\frac{12}{2}-\frac{5}{2}x \\ y=-\frac{5}{2}x+6 \end{gathered}[/tex]