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:

Step1: Recall Parallel/Perpendicular Rules

Parallel lines: same slope, never meet. Perpendicular: slopes multiply to -1 (or right angle).

Step2: Analyze Graph 1

Two lines intersect but don't form a right angle. Slopes aren't equal (not parallel) and product of slopes ≠ -1 (not perpendicular). So Neither.

Graph 2:

Step1: Recall Right Angle Definition

Perpendicular lines form 90° angles.

Step2: Analyze Graph 2

One line is vertical, one horizontal. They intersect at 90°. So Perpendicular.

Graph 3:

Step1: Recall Parallel Definition

Parallel lines have same slope, are equidistant, never meet.

Step2: Analyze Graph 3

Two lines have same direction, never meet (equidistant, same slope). So Parallel.

Graph 4:

Step1: Recall Parallel/Perpendicular Rules

Check slope and intersection.

Step2: Analyze Graph 4

Lines intersect but don't form right angle, slopes not equal. So Neither.

Answer:

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