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:

Step1: Recall parallel - line property

Parallel lines have same slope and never intersect. In Graph 1 and Graph 2, lines have same direction and will never meet.

Step2: Recall non - parallel and non - perpendicular property

In Graph 3, lines are not parallel as they have different directions and not perpendicular as they don't intersect at 90 - degree angles.

Step3: Recall perpendicular - line property

Perpendicular lines intersect at a 90 - degree angle. In Graph 4, lines intersect at right angle.

Answer:

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