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

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.

Answer 1

To determine the correct response, we need to analyze the characteristics of Line W and Line X, particularly their slopes and whether they change from positive to negative or vice versa.

1. Slope Change:

   • If Line W has a positive slope and Line X has a negative slope, then there is a slope change from positive to negative.
   • Conversely, if Line W has a negative slope and Line X has a positive slope, then there is a slope change from negative to positive.

2. Factor Change:

   • If the slope of Line X is three times the slope of Line W (or vice versa), then we would say that the factor change is 3.

Without the actual graph to analyze, I can't provide the specific answer regarding which line has which slope. If you are able to see that one line is indeed the negative version of the other with a multiplication factor of 3, you would choose "There is a slope change from positive to negative and by a factor of 3."

If one line simply switches from a positive slope to a negative slope without a multiplicative factor, the correct response would be "There is a slope change from positive to negative and no factor change."

Please verify the slopes of the lines to choose the correct answer based on these criteria.