Question

each graph, decide if the two lines are parallel, perpendicular, or neither. graph 1 graph 2 graph 3 graph 4

Explanation:

• Graph 1:
• Parallel lines are lines in a plane that do not intersect. In Graph 1, the two lines are vertical and will never meet, so they are parallel.
• Graph 2:
• The two lines in Graph 2 are not parallel (they will intersect if extended) and they do not form a right - angle (so they are not perpendicular). So, they are neither.
• Graph 3:
• The two lines in Graph 3 are not parallel (they intersect) and they do not form a right - angle (so they are not perpendicular). So, they are neither.
• Graph 4:
• Perpendicular lines are lines that intersect at a right angle (\(90^{\circ}\)). In Graph 4, the horizontal and vertical lines intersect at a right angle, so they are perpendicular.

Answer:

Graph 1: Parallel, Graph 2: Neither, Graph 3: Neither, Graph 4: Perpendicular