1. **Problem Statement:** Sketch the lines given by the equations: a) $y = -3$ b) $x = -2$ c) $x = 2$ d) $y = 5$ e) $y = -2x$ f) $y = 3x$ 2. **Understanding the lines:** - Lines of the form $y = c$ are horizontal lines crossing the y-axis at $c$. - Lines of the form $x = c$ are vertical lines crossing the x-axis at $c$. - Lines of the form $y = mx$ pass through the origin with slope $m$. 3. **Sketching each line:** - a) $y = -3$: Horizontal line crossing y-axis at -3. - b) $x = -2$: Vertical line crossing x-axis at -2. - c) $x = 2$: Vertical line crossing x-axis at 2. - d) $y = 5$: Horizontal line crossing y-axis at 5. - e) $y = -2x$: Line through origin with slope -2 (downward slope). - f) $y = 3x$: Line through origin with slope 3 (steeper upward slope). 4. **Summary:** - Horizontal lines: a) and d) - Vertical lines: b) and c) - Sloped lines: e) and f) This completes the sketching instructions for the given lines.