1. **Problem Statement:** Draw a rough sketch of the graph of a line where the slope $m < 0$ and the y-intercept $c > 0$. 2. **Understanding the parameters:** - The slope $m < 0$ means the line slopes downward from left to right. - The y-intercept $c > 0$ means the line crosses the y-axis above the origin. 3. **Equation of the line:** The line can be represented as: $$y = mx + c$$ where $m < 0$ and $c > 0$. 4. **Graph characteristics:** - The line crosses the y-axis at $(0, c)$, which is positive. - Because $m$ is negative, as $x$ increases, $y$ decreases. - The line starts high on the top-left and goes down towards the bottom-right. 5. **Summary:** The graph is a straight line with a negative slope intersecting the y-axis above the origin, slanting downward from left to right.