QQuestionMathematics
QuestionMathematics
The linear equation y=−2 is a horizontal line and has an undefined slope.
True
False
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Answer
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Step 1I'll solve this step by step with precise mathematical reasoning:
Step 2: Recall the definition of slope
m = \frac{\Delta y}{\Delta x}
The slope of a line represents the change in y divided by the change in x, mathematically expressed as:
Final Answer
The line y = - 2 has a slope of 0, not an undefined slope. Key Insight: A horizontal line always has a slope of 0, which means for any change in x, there is no change in y.
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