Examine the graph of lines A and B below.

Which statement is true about lines A and B?
A has a smaller slope than B.
A and B both have slopes greater than 1.
A has a larger slope than B.
A and B both have slopes less than 1.

1 answer

To determine the relationship between the slopes of lines A and B, we would need to analyze the graph, but since I can't see any visuals, I can guide you on how to find the correct statement based on the slopes:

  1. Identify the slopes of the lines: If the lines are represented on a Cartesian plane, the slope (m) can be determined using the rise over run formula, which is the change in y (vertical) over the change in x (horizontal).

  2. Compare the slopes:

    • If the slope of line A (mA) is less than the slope of line B (mB), then "A has a smaller slope than B" is true.
    • If both slopes are greater than 1, then "A and B both have slopes greater than 1" is true.
    • If the slope of line A is greater than the slope of line B, then "A has a larger slope than B" is correct.
    • If both slopes are less than 1, then "A and B both have slopes less than 1" is true.

By calculating and comparing the slopes based on the coordinates of their points or visually assessing the steepness of each line from the graph, you can determine which statement is true.

Once you do that, you'll be able to choose the correct statement from the options provided.

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