is (0,3) and (3,1) parallel, perpendicular, or neither

Question

is the lines (0,3) and (3,1) parallel, perpendicular, or neither

 

Answer 1

Given only two points, we can only form one line, and cannot form a parallel or perpendicular relationship on their own.

Parallel lines are two lines on a plane that will never intersect or two lines with the same slope.

Perpendicular lines are two lines on a plane that intersect, and form right angles at the intersection; We also can tell two lines are perpendicular if their slopes are negative reciprocals of each other.

One line, at minimum, can be formed with two points on a plane. Two points is not enough information to identify two separate lines, let alone to see a relationship between two lines.

Please make sure of the wording of the question, as I believe some information may be left out. However, if this is exactly how the teacher wrote the question, I would for now answer 'neither', as technically two points are, in fact, considered neither parallel or perpendicular, and to ask the teacher for clarity.

Please let me know if this answer was helpful!

~ Derek D.