SOLUTION
To do this, we make y the subject of formula in the equation
[tex]-5x+3y=-12[/tex]
This becomes
[tex]\begin{gathered} -5x+3y=-12 \\ 3y=-12+5x \\ 3y=5x-12 \\ y=\frac{5}{3}x-\frac{12}{3} \\ y=\frac{5}{3}x-4 \end{gathered}[/tex]
Above the line is usually greater than or equal to, while below the line is less than or equal to.
Hence the inequality is
[tex]y\leq\frac{5}{3}x-4[/tex]
Less than or equal to, because it is a solid line and not a broken line
So, the answer becomes
[tex]y\leq\frac{5}{3}x-4[/tex]
