1. **Problem Statement:** Determine if the pairs of lines in each graph are parallel, perpendicular, or neither. 2. **Key Concepts:** - Lines are **parallel** if they have the same slope. - Lines are **perpendicular** if the product of their slopes is $-1$. - If neither condition holds, the lines are **neither**. 3. **Graph 1:** - Both lines form an acute angle pointing roughly bottom-left to top-right. - Since they are not parallel and do not form a right angle, they are **neither**. 4. **Graph 2:** - One line is horizontal (slope $0$). - The other line is diagonal with a positive slope. - Since one slope is $0$ and the other is not undefined, check if product is $-1$: $$0 \times m = 0 \neq -1$$ - So, lines are **neither**. 5. **Graph 3:** - Both lines are vertical (undefined slope). - Vertical lines are parallel. - So, lines are **parallel**. 6. **Graph 4:** - One line is vertical (undefined slope). - The other is horizontal (slope $0$). - Vertical and horizontal lines are perpendicular. - So, lines are **perpendicular**. **Final answers:** - Graph 1: Neither - Graph 2: Neither - Graph 3: Parallel - Graph 4: Perpendicular