Use the image to answer the question.

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

The slope is changed by a factor of 3.
The slope is changed 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.

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 no factor change.
There is a slope change from positive to negative and no factor change.
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Answer 1

To accurately select the correct response about the change from Line W to Line X, we need to consider the characteristics of the lines in the graph, particularly their slopes.

1. If the slope of Line W is initially positive and Line X is negative, then there is a change from positive to negative.
2. If the slope of Line X is three times the slope of Line W, then the change involves a factor of 3.
3. If the slopes are different but do not exhibit a multiple change, then the factor change does not apply.

Given that we don't have the actual visual representation of the graph, I can suggest the appropriate response based on possible characteristics:

• If the slope changes from positive to negative and by a factor of 3: then select "There is a slope change from positive to negative and by a factor of 3."
• If the slope changes from negative to positive by a factor of 3: then select "There is a slope change from negative to positive and by a factor of 3."
• If the slope changes from positive to negative without a factor: then select "There is a slope change from positive to negative and no factor change."

Choose the most fitting statement based on these possibilities, depending on how Line W and Line X are characterized.