Concept explainers
To explain:Whether a horizontal line is always, sometimes, or never has 0slope.
Answer to Problem 24HP
When the line is horizontal then slope of the line is always zero.
Explanation of Solution
Given:
Calculation:
Consider the graph that is parallel to x - axis means that line is horizontal and y=1
Slope is the ratio of the rise or the vertical change, to the run, or the horizontal change.
Since, the value of y-axis is constant. It means the value of y does not changes.
And, we know that:
And, change in y is 0.
So,
Therefore, when the line is horizontal then slope of the line is always zero.
Conclusion:
Therefore, when the line is horizontal then slope of the line is always zero.
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