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: Analyze slope direction

Both lines have the same steepness and direction (both increasing, same angle).

Step2: Determine relationship

Parallel lines have equal slopes (same direction/steepness). So these lines are parallel.

Step1: Analyze line directions

One line is vertical (undefined slope), one is horizontal (slope 0).

Step2: Determine relationship

Vertical and horizontal lines are perpendicular (intersect at 90°).

Step1: Analyze slopes

One line is horizontal (slope 0), the other has a negative slope (not vertical/horizontal).

Step2: Determine relationship

Slope 0 and a non - 90°/0° slope: not parallel (different slopes) and not perpendicular (product of slopes not - 1). So neither.

Answer:

Parallel

Graph 2