Question

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

Explanation:

Step1: Recall parallel - line definition

Parallel lines have the same slope and never intersect. In Graph 1, the two lines have the same direction and will never meet, so they are parallel.

Step2: Recall perpendicular - line definition

Perpendicular lines intersect at a 90 - degree angle. In Graph 2, the lines form a right - angle intersection, so they are perpendicular. In Graph 3, the lines also intersect at a 90 - degree angle, so they are perpendicular.

Step3: Analyze Graph 4

In Graph 4, the lines do not have the same slope (not parallel) and do not intersect at a 90 - degree angle (not perpendicular), so they are neither.

Answer:

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