1. **State the problem:** Find the x-intercept, y-intercept, and slope of the line given by the equation $2y + 6 = 4x$. 2. **Rewrite the equation in slope-intercept form $y = mx + b$:** Start with the given equation: $$2y + 6 = 4x$$ Subtract 6 from both sides: $$2y = 4x - 6$$ Divide both sides by 2: $$y = \frac{4x}{2} - \frac{6}{2}$$ Simplify: $$y = 2x - 3$$ 3. **Identify the slope:** The slope $m$ is the coefficient of $x$ in $y = mx + b$, so: $$m = 2$$ 4. **Find the y-intercept:** The y-intercept is the value of $y$ when $x=0$: $$y = 2(0) - 3 = -3$$ So the y-intercept is at $(0, -3)$. 5. **Find the x-intercept:** The x-intercept is the value of $x$ when $y=0$: Set $y=0$ in the equation: $$0 = 2x - 3$$ Add 3 to both sides: $$3 = 2x$$ Divide both sides by 2: $$x = \frac{3}{2} = 1.5$$ So the x-intercept is at $(1.5, 0)$. **Final answers:** - Slope: $2$ - x-intercept: $(1.5, 0)$ - y-intercept: $(0, -3)$