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What are the slopes of the following lines: slope = 5/2, slope = 2/5, slope = 3/4, slope = -1/2?

slope = 5/2
slope = 2/5
slope = 3/4
slope = -1/2




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1 Answer

  1. To answer your question, we’ll clarify the concept of slope and what the given values represent.

    The slope of a line is a measure of how steep the line is and is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. The slope can be interpreted as follows:

    1. Slope = 5/2: This indicates that for every 2 units you move horizontally to the right, you move up 5 units. This is a steep positive slope.

    2. Slope = 2/5: This indicates that for every 5 units you move horizontally to the right, you move up 2 units. This is a gentle positive slope.

    3. Slope = 3/4: This indicates that for every 4 units you move horizontally to the right, you move up 3 units. This is also a gentle positive slope, but steeper than 2/5.

    4. Slope = -1/2: This indicates that for every 2 units you move horizontally to the right, you move down 1 unit. This is a gentle negative slope.

    In summary, the values represent different slopes, with positive values indicating an upward trend and a negative value indicating a downward trend. The steeper the absolute value of the slope, the steeper the line.

    If you have more specific questions about slopes or need further explanations on this topic, feel free to ask!

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