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:

Step1: Analyze Graph 1

One line is vertical (undefined slope), the other has a positive slope. They aren't parallel (same slope) or perpendicular (product of slopes -1, vertical and horizontal are perpendicular, but this other line isn't horizontal). So choose Neither.

Step2: Analyze Graph 2

One line is vertical (undefined slope), the other has a negative slope. Not parallel (different slopes) or perpendicular (vertical and non - horizontal/vertical lines aren't perpendicular in this case). So choose Neither.

Step3: Analyze Graph 3

Both lines have the same positive slope, so they are parallel (parallel lines have equal slopes). So choose Parallel.

Step4: Analyze Graph 4

One line has a positive slope, the other has a negative slope. The product of their slopes (if we calculate) would not be -1 (since one is positive, one is negative, but for perpendicular, product should be -1; here they cross but aren't perpendicular). So choose Neither.

Answer:

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