1. **State the problem:** We need to find the slope and y-intercept of the line given by the equation $$2y + 6 = 4x$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = mx + b$$, where $m$ is the slope and $b$ is the y-intercept. 3. **Isolate $y$:** $$2y + 6 = 4x$$ Subtract 6 from both sides: $$2y + 6 - 6 = 4x - 6$$ $$2y = 4x - 6$$ 4. **Divide both sides by 2 to solve for $y$:** $$\cancel{2}y = \frac{4x - 6}{\cancel{2}}$$ $$y = \frac{4x}{2} - \frac{6}{2}$$ $$y = 2x - 3$$ 5. **Identify slope and y-intercept:** - Slope $m = 2$ - Y-intercept $b = -3$ **Final answer:** The slope is $2$ and the y-intercept is $-3$.