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

• Step1: Check perpendicular condition

Perpendicular lines intersect at a right - angle. These lines do not intersect at a right - angle.

• Step2: Check parallel condition

Parallel lines have the same slope and never intersect. These lines intersect.

Graph 2

• Step1: Check parallel condition

Parallel lines are always the same distance apart and never intersect. These vertical lines are parallel.

Graph 3

• Step1: Check perpendicular condition

Perpendicular lines intersect at a right - angle. These lines do not intersect at a right - angle.

• Step2: Check parallel condition

Parallel lines have the same slope and never intersect. These lines intersect.

Graph 4

• Step1: Check parallel condition

Parallel lines are always the same distance apart and never intersect. These lines are parallel.

Answer:

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