Question

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

Explanation:

• Graph 1: Parallel lines are lines in a plane that do not intersect. In Graph 1, the two lines have the same direction and will never meet, so they are parallel.
• Graph 2: The two lines in Graph 2 are not parallel (they have different slopes) and they do not intersect at a right - angle (so they are not perpendicular).
• Graph 3: Perpendicular lines are lines that intersect at a right angle (\(90^{\circ}\)). In Graph 3, one line is vertical and the other is horizontal, and they intersect at a right angle.
• Graph 4: The two lines in Graph 4 are not parallel (they have different slopes) and they do not intersect at a right - angle (so they are not perpendicular).

Answer:

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