Question

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

Explanation:

• Graph 1: The two lines are not parallel (they are not equidistant and do not have the same slope conceptually in the visual sense) and not perpendicular (they do not intersect at a right - angle).
• Graph 2: Parallel lines are defined as lines in a plane that do not intersect. In Graph 2, the two lines are equidistant and will never meet, so they are parallel.
• Graph 3: The lines are not parallel (they intersect) and not perpendicular (the angle of intersection is not \(90^{\circ}\)).
• Graph 4: Perpendicular lines are lines that intersect at a right - angle (\(90^{\circ}\)). In Graph 4, the two lines intersect at a right - angle.

Answer:

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