Which of the following statements is true?The greater the slope, the steeper the line.The greater the slope, the more the line goes down.The greater the slope, the longer the line.
Question
Which of the following statements is true?The greater the slope, the steeper the line.The greater the slope, the more the line goes down.The greater the slope, the longer the line.
Solution
The statement that is true is: "The greater the slope, the steeper the line."
Here's why:
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The slope of a line is a measure of how steep the line is. A higher slope value indicates a steeper incline.
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The direction of the slope (upwards or downwards) is determined by whether the slope is positive or negative, not by the magnitude of the slope. Therefore, the statement "The greater the slope, the more the line goes down" is not necessarily true.
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The length of the line is not determined by its slope. Therefore, the statement "The greater the slope, the longer the line" is not true.
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