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

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.
The slope is changed by a factor of 3.

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

Answer 1

To accurately determine the nature of the change from Line W to Line X, we would need to analyze the slopes of both lines. If Line W has a negative slope and Line X has a positive slope, then there is a change from negative to positive. Additionally, if the slope of Line X is three times greater than the slope of Line W, that would indicate a factor change of 3.

Given your responses, the correct choice would be:

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

If the actual graph indicated that Line W has a negative slope and Line X has a positive slope, with a factor of 3 change in slopes, then this would be the appropriate answer.