What is the slope of a line that is parallel to the line [tex]y=-\frac{1}{5}[/tex]?
A. [tex]-\frac{1}{5}[/tex]
B. 0
C. 5
D. undefined
Answer (2)
The given line y = − 5 1 is a horizontal line.
The slope of a horizontal line is 0.
Parallel lines have the same slope.
The slope of a line parallel to y = − 5 1 is 0 .
Explanation
Identify the line The given line is y = − 5 1 . This is a horizontal line.
Determine the slope The slope of any horizontal line is 0.
Find the parallel slope Parallel lines have the same slope. Therefore, the slope of a line parallel to y = − 5 1 is 0.
Final Answer The slope of a line parallel to the line y = − 5 1 is 0.
Examples
Understanding slopes is crucial in many real-world applications. For instance, when designing roads or ramps, engineers need to consider the slope to ensure safety and ease of use. A horizontal line, like the one in this problem, represents a flat surface with no incline, making it easy to traverse. Similarly, in finance, understanding the slope of a trend line can help predict future performance based on historical data.
The slope of a line parallel to the line y = − 5 1 is 0, since parallel lines share the same slope as the original line. Here, the original line is horizontal, which has a slope of 0.
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