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Are line 1 and line 2 parallel, perpendicular, or neither?

a) Parallel
b) Perpendicular
c) Neither

1 Answer

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Final answer:

Without specific slopes or equations for line 1 and line 2, we cannot determine if they are parallel, perpendicular, or neither. Lines are parallel if they have the same slope and perpendicular if the product of their slopes is -1. Without this information, no relationship can be established.

Step-by-step explanation:

To determine whether line 1 and line 2 are parallel, perpendicular, or neither, we need to know their slopes or their equations. If two lines have the same slope, they are parallel. If the product of their slopes is -1, they are perpendicular. In any other case, the lines are neither parallel nor perpendicular.

Consider the following scenarios:

  • If line 1 and line 2 are both along the x-axis, then they are parallel because they have the same slope, which is 0.
  • If line 1 points in one direction and line 2 points in the opposite direction, they are neither parallel nor perpendicular unless they are aligned along the same line, which would make them coincident, not parallel or perpendicular.
  • When two lines are perpendicular, they form a 90° angle with each other—not 270°.
  • For a line that is a straight line with a negative slope or positive slope, we cannot determine the relationship to another line without more information.
  • If one line bends upward and another line bends downward, without additional context, we cannot say if they are parallel or perpendicular.
  • When two forces are in equilibrium and act perpendicular to each other, as in the forces question, they are not lines, so this scenario does not apply.

Without specific equations or slopes for line 1 and line 2, we cannot definitively conclude whether they are parallel, perpendicular, or neither.

User Hayk Melkonyan
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