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 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.

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.

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

To accurately determine how the graph shows the change from Line W to Line X, we need to consider the slopes of both lines.

  • If Line W has a negative slope and Line X has a positive slope, then the correct response would be: "There is a slope change from negative to positive and by a factor of 3."

  • Conversely, if Line W has a positive slope and Line X has a negative slope, then the correct response would be: "There is a slope change from positive to negative and by a factor of 3."

  • If the slopes change from positive to negative without changing in magnitude, the correct response would be: "There is a slope change from positive to negative and no factor change."

  • Lastly, if the slope changed but it was unspecified or unclear, the response might be simply: "The slope is changed by a factor of 3."

Since I can't see the image, you'll need to assess the slopes of Lines W and X to select the correct response.

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