Question

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

Explanation:

Graph 1

• Step1: Check parallel

Parallel lines have the same slope and never meet. These lines are not parallel as they have different slopes.

• Step2: Check perpendicular

Perpendicular lines intersect at a right - angle (90 degrees). These lines do not intersect at a right - angle.

Graph 2

• Step1: Check intersection

The lines intersect.

• Step2: Check angle

The lines intersect at a 90 - degree angle (right - angle), so they are perpendicular.

Graph 3

• Step1: Check parallel

Parallel lines never meet. These lines intersect, so they are not parallel.

• Step2: Check perpendicular

The lines do not intersect at a 90 - degree angle.

Graph 4

• Step1: Check parallel

Parallel lines have the same slope and never meet. These lines have the same slope and will never meet, so they are parallel.

Answer:

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