1. The problem asks to find the slope and y-intercept of the line given by the equation $5x - 2y - 6 = 0$. 2. First, rewrite the equation in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. Start with the given equation: $$5x - 2y - 6 = 0$$ 4. Add $2y$ and $6$ to both sides to isolate terms involving $y$ on one side: $$5x - 6 = 2y$$ 5. Divide both sides by 2 to solve for $y$: $$\frac{5x - 6}{2} = y$$ 6. Use the cancellation notation to show division: $$y = \frac{\cancel{5x} - \cancel{6}}{\cancel{2}}$$ (Note: Here, only the denominator 2 is divided, so cancellation is not applicable to terms in numerator separately; instead, write as is.) 7. Rewrite as: $$y = \frac{5}{2}x - 3$$ 8. From this form, the slope $m$ is the coefficient of $x$, which is $\frac{5}{2}$. 9. The y-intercept $b$ is the constant term, which is $-3$. 10. Therefore, the slope is $\frac{5}{2}$ and the y-intercept is $-3$.