Question

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

Explanation:

To solve this, we analyze each graph based on the definitions of parallel (same slope, never meet) and perpendicular (slopes are negative reciprocals, form 90° angle) lines:

Graph 1

The two lines form a right (90°) angle. So they are Perpendicular.

Graph 2

The lines intersect but do not form a right angle, and their slopes are not equal. So they are Neither parallel nor perpendicular.

Graph 3

One line is horizontal (slope 0) and the other is not vertical/horizontal, and they do not form a right angle. So they are Neither parallel nor perpendicular.

Graph 4

The two lines have the same direction (equal slope) and never meet. So they are Parallel.

Final Answers (for each graph):

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

Answer:

To solve this, we analyze each graph based on the definitions of parallel (same slope, never meet) and perpendicular (slopes are negative reciprocals, form 90° angle) lines:

Graph 1

The two lines form a right (90°) angle. So they are Perpendicular.

Graph 2

The lines intersect but do not form a right angle, and their slopes are not equal. So they are Neither parallel nor perpendicular.

Graph 3

One line is horizontal (slope 0) and the other is not vertical/horizontal, and they do not form a right angle. So they are Neither parallel nor perpendicular.

Graph 4

The two lines have the same direction (equal slope) and never meet. So they are Parallel.

Final Answers (for each graph):

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