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Use the image to answer the question.

Two lines marked line X and line W are drawn on a coordinate plane. Both axes range from negative 10 to 10 in unit increments.

How does the graph show the change from Line W
to Line X
?

(1 point)
Responses

There is a slope change from positive to negative and no factor change.
There is a slope change from positive to negative and no factor change.

There is a slope change from negative to positive and by a factor of 3.
There is a slope change from negative to positive and by a factor of 3.

There is a slope change from positive to negative and by a factor of 3.
There is a slope change from positive to negative and by a factor of 3.

The slope is changed by a factor of 3.

1 answer

To accurately answer your question about the slope changes from Line W to Line X, I would need to analyze the specific values or visual data from the image, which I'm unable to do. However, here's a general approach to understanding the slope and factor change between two lines:

  1. Identify the slopes:

    • The slope of a line in a coordinate plane can be determined by the rise over run (change in y over change in x).
    • If Line W has a positive slope and Line X has a negative slope, this indicates a change from positive to negative.
    • Conversely, if Line W has a negative slope and Line X has a positive slope, that's a change from negative to positive.

  2. Determine the factors:

    • If the steepness of the slope changes (i.e., one line is three times steeper than the other), you would state that the change is by a factor of 3.

Based on the available options, you can select the one that best reflects the transition in slope from Line W to Line X, keeping in mind whether the slopes are positive or negative and if there's a factor change.

If you recall the specific characteristics of Lines W and X, you can use that information to choose the response that accurately reflects their relationship.