Final answer:
The Parallel-Perpendicular Tool is a calculator that can determine if two lines are parallel or perpendicular. To determine line relationship, identify the lines, calculate their slopes, and compare. If the slopes are equal, the lines are parallel. If the slopes are negative reciprocals, the lines are perpendicular.
Step-by-step explanation:
Parallel or Perpendicular Calculator: The option that best fits the description of a calculator that can determine if two lines are parallel or perpendicular is B. Parallel-Perpendicular Tool. This tool can be used to evaluate the relationship between two lines and determine if they are parallel or perpendicular.
Steps to determine line relationship:
- Identify two lines for comparison.
- Calculate the slopes of the two lines.
- If the slopes are equal, the lines are parallel. If the slopes are negative reciprocals, the lines are perpendicular.
Example: Consider the lines y = 2x + 4 and y = -1/2x + 3. The slopes of the lines are 2 and -1/2, respectively. Since the slopes are negative reciprocals, the lines are perpendicular.
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