1. **Problem Statement:** We are given a graph described by the equation $$y = \frac{1}{2} \text{agar} + x^2$$ and asked to draw the straight line on this graph and determine its intercept. 2. **Understanding the equation:** The equation has two parts: a constant term $$\frac{1}{2} \text{agar}$$ and a quadratic term $$x^2$$. The quadratic term forms a curve, while the constant term represents a vertical shift. 3. **Identifying the straight line:** The straight line corresponds to the constant term $$y = \frac{1}{2} \text{agar}$$, which is independent of $$x$$. This line is horizontal. 4. **Intercept of the straight line:** Since the line is horizontal at $$y = \frac{1}{2} \text{agar}$$, the intercept on the vertical axis (where $$x=0$$) is simply $$y = \frac{1}{2} \text{agar}$$. 5. **Summary:** - The straight line is horizontal at $$y = \frac{1}{2} \text{agar}$$. - Its vertical intercept is $$\frac{1}{2} \text{agar}$$. This means on the graph, draw a horizontal line crossing the vertical axis at $$y = \frac{1}{2} \text{agar}$$.