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: The lines are horizontal and vertical, forming 90° angles, so they are perpendicular.
• Graph 2: One line has a positive slope, the other has a slope of 0; they do not have equal slopes nor are their slopes negative reciprocals, so they are neither.
• Graph 3: The slopes are not equal, and their product is not -1, so they are neither.
• Graph 4: The lines have identical slopes and never intersect, so they are parallel.

Answer:

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