1. **State the problem:** We need to find the y-intercept and the slope of the line given by the equation $ax + 2y = 4$. 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 $y$:** Starting from $ax + 2y = 4$, subtract $ax$ from both sides: $$2y = -ax + 4$$ 4. **Divide both sides by 2:** $$y = -\frac{a}{2}x + 2$$ 5. **Identify the slope and y-intercept:** - The slope $m$ is the coefficient of $x$, which is $-\frac{a}{2}$. - The y-intercept $b$ is the constant term, which is $2$. **Final answer:** - The y-intercept is $2$. - The slope is $-\frac{a}{2}$.