Question

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

Explanation:

Graph 1

• Step1: Recall parallel lines definition

Parallel lines are lines in a plane that do not intersect. In Graph 1, the two lines have the same direction (vertical) and will never meet.

Graph 2

• Step1: Check for intersection and angle

The lines in Graph 2 are not parallel (they will intersect) and do not form a right - angle (90 degrees).

Graph 3

• Step1: Check for intersection and angle

The lines in Graph 3 are not parallel (they intersect) and do not form a right - angle (90 degrees).

Graph 4

• Step1: Recall perpendicular lines definition

Perpendicular lines are lines that intersect at a right - angle (90 degrees). In Graph 4, the two lines (one horizontal and one vertical) intersect at 90 degrees.

Answer:

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