Question
Use the image to answer the question. don dun don dun
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 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.
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 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.
Answers
GPT-4o mini
To determine how Line W changes to Line X based on their slopes and the information provided in the responses, let's analyze the options offered:
1. **The slope is changed by a factor of 3.**
2. **There is a slope change from positive to negative and by a factor of 3.**
3. **There is a slope change from positive to negative and no factor change.**
4. **There is a slope change from negative to positive and by a factor of 3.**
Given the need to consider both the slope change and whether it shifts from positive to negative or vice versa, the correct response would depend on the specific slopes of Lines W and X.
- If Line W has a positive slope and Line X has a negative slope, then options 2 and 3 would apply.
- If Line W has a negative slope while Line X has a positive slope, then option 4 would be relevant.
Without the actual visual representation of the lines and their slopes, one cannot definitively choose the correct option. However, based solely on the choices:
**Answer: There is a slope change from positive to negative and by a factor of 3.**
This would imply a transition from a line with a positive slope to one with a negative slope that has a steeper inclination. If you can observe that the actual slopes meet these conditions, then this would be the correct inference.
1. **The slope is changed by a factor of 3.**
2. **There is a slope change from positive to negative and by a factor of 3.**
3. **There is a slope change from positive to negative and no factor change.**
4. **There is a slope change from negative to positive and by a factor of 3.**
Given the need to consider both the slope change and whether it shifts from positive to negative or vice versa, the correct response would depend on the specific slopes of Lines W and X.
- If Line W has a positive slope and Line X has a negative slope, then options 2 and 3 would apply.
- If Line W has a negative slope while Line X has a positive slope, then option 4 would be relevant.
Without the actual visual representation of the lines and their slopes, one cannot definitively choose the correct option. However, based solely on the choices:
**Answer: There is a slope change from positive to negative and by a factor of 3.**
This would imply a transition from a line with a positive slope to one with a negative slope that has a steeper inclination. If you can observe that the actual slopes meet these conditions, then this would be the correct inference.