Question

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

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: Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). In Graph 2, the two lines intersect at a right - angle, so they are perpendicular.
• Graph 3: The two lines in Graph 3 are not parallel (they would need to have the same slope and never meet) and not perpendicular (they do not intersect at a \(90^{\circ}\) angle). So they are neither.
• Graph 4: The two lines in Graph 4 are not parallel (they would need to have the same slope and never meet) and not perpendicular (they do not intersect at a \(90^{\circ}\) angle). So they are neither.

Answer:

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