Step 1 :The given inequality is in the standard form of a linear equation. To solve for y, we need to isolate y on one side of the inequality. This involves subtracting 20x from both sides and then dividing by 6.
Step 2 :The inequality in slope-intercept form is \(y \leq \frac{1}{2} - \frac{10x}{3}\).
Step 3 :Final Answer: The inequality in slope-intercept form is \(\boxed{y \leq \frac{1}{2} - \frac{10x}{3}}\).