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 meet; they are always the same distance apart. In Graph 1, the two lines have the same direction and will never intersect, so they are parallel.
• Graph 2: The two lines in Graph 2 are not parallel (they have different slopes/directions) and they do not intersect at a right - angle (90 degrees), so they are neither parallel nor perpendicular.
• Graph 3: Perpendicular lines are lines that intersect at a right - angle (90 degrees). In Graph 3, the two lines intersect at a 90 - degree angle, so they are perpendicular.
• Graph 4: The two lines in Graph 4 are not parallel (they have different slopes/directions) and they do not intersect at a right - angle (90 degrees), so they are neither parallel nor perpendicular.

Answer:

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