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: Check Parallel

Parallel lines never intersect. These lines intersect, so not parallel.

• Step2: Check Perpendicular

Perpendicular lines intersect at \(90^{\circ}\). Visual inspection (or using slope - if we assume a coordinate system, but from the graph's look) shows they don't form right - angles. So they are neither.

Graph 2

• Step1: Check Parallel

Parallel lines never intersect. These lines intersect, so not parallel.

• Step2: Check Perpendicular

Perpendicular lines intersect at \(90^{\circ}\). Visual inspection (or using slope - if we assume a coordinate system, but from the graph's look) shows they don't form right - angles. So they are neither.

Graph 3

• Step1: Check Parallel

Parallel lines are always the same distance apart and never intersect. These lines fit that description. So they are parallel.

Graph 4

• Step1: Check Parallel

Parallel lines never intersect. These lines intersect, so not parallel.

• Step2: Check Perpendicular

Perpendicular lines intersect at \(90^{\circ}\). Visual inspection (or using slope - if we assume a coordinate system, but from the graph's look) shows they form right - angles. So they are perpendicular.

Answer:

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