1. **State the problem:** We are given the linear equation $$y = \frac{2}{3}x + 1$$ and need to find the y-intercept and the slope. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mx + b$$ where: - $$m$$ is the slope - $$b$$ is the y-intercept (the value of $$y$$ when $$x=0$$) 3. **Identify the slope:** From the equation $$y = \frac{2}{3}x + 1$$, the coefficient of $$x$$ is $$\frac{2}{3}$$, so the slope $$m = \frac{2}{3}$$. 4. **Identify the y-intercept:** The constant term is $$1$$, so the y-intercept $$b = 1$$. 5. **Interpretation:** - The slope $$\frac{2}{3}$$ means for every increase of 3 units in $$x$$, $$y$$ increases by 2 units. - The y-intercept $$1$$ means the line crosses the y-axis at the point $$(0,1)$$. **Final answers:** - Slope: $$\frac{2}{3}$$ - Y-intercept: $$1$$