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

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 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.
Skip to navigation

1 answer

To accurately answer this question, I would need to analyze the image of the coordinate plane you're referring to, specifically the positions and slopes of Line W and Line X. However, as I am unable to view images, I can guide you in your assessment.

To determine the relationship between Line W and Line X, examine the slopes of both lines:

  1. Identify the slope of Line W: Determine if it’s positive or negative and calculate its value (rise/run).
  2. Identify the slope of Line X: Determine whether this line's slope is also positive or negative and calculate its value.
  3. Compare the slopes:
    • Check if there is a change from positive to negative (or vice versa) and compute the factor by which one slope differs from the other if applicable.

Based on your observations, select the correct response. Here are the possible interpretations:

  • If Line W has a positive slope and Line X has a negative slope but they do not differ by a factor of 3, the answer would be: "There is a slope change from positive to negative and no factor change."

  • If Line W has a negative slope and Line X has a positive slope and they do not differ by a factor of 3, the appropriate choice would be: "There is a slope change from negative to positive and no factor change."

  • If both lines have slopes that change from negative to positive (or the other way) and differ by a factor of 3, then you would select the corresponding option involving the factor of 3.

Make your selection based on these guidelines.