Question
Use the image to answer the question.
Two lines marked line C and line B are drawn on a coordinate plane. Both axes range from negative 10 to 10 in unit increments.
Use the graph to describe the transformation shown from line B
to line C
.
(1 point)
Responses
The slope of the line has been increased by a factor of 5 units.
The slope of the line has been increased by a factor of 5 units.
The line has been decreased by a factor of 5 units.
The line has been decreased by a factor of 5 units.
The line has moved down 5 units on the y-axis.
The line has moved down 5 units on the y -axis.
The line has moved up 5 units on the y-axis.
Two lines marked line C and line B are drawn on a coordinate plane. Both axes range from negative 10 to 10 in unit increments.
Use the graph to describe the transformation shown from line B
to line C
.
(1 point)
Responses
The slope of the line has been increased by a factor of 5 units.
The slope of the line has been increased by a factor of 5 units.
The line has been decreased by a factor of 5 units.
The line has been decreased by a factor of 5 units.
The line has moved down 5 units on the y-axis.
The line has moved down 5 units on the y -axis.
The line has moved up 5 units on the y-axis.
Answers
GPT-4o mini
To accurately describe the transformation from line B to line C on a coordinate plane, we would need specific information about the lines' equations or their visual representations as indicated in the graph. However, I can guide you on how to analyze the transformation based on the options provided.
1. **Slope Change**: If line C has a steeper incline compared to line B, this would suggest that the slope has increased. Conversely, if line C is less steep, it indicates a decrease in slope.
2. **Vertical Movement**: If line C is shifted upwards or downwards compared to line B, this can be described as moving up or down along the y-axis.
So your choices would depend on the analysis of the slope and position of line C in relation to line B.
Based on the responses provided:
- If line C appears steeper than line B, then "The slope of the line has been increased by a factor of 5 units" would be correct.
- If line C is not as steep as line B, then "The line has been decreased by a factor of 5 units" would be appropriate.
- If line C is positioned lower than line B on the graph, select "The line has moved down 5 units on the y-axis."
- If line C is higher than line B, then the correct choice is "The line has moved up 5 units on the y-axis."
Since I can't see the graph, please use the descriptions above to determine which response is accurate based on the graphical details you observe.
1. **Slope Change**: If line C has a steeper incline compared to line B, this would suggest that the slope has increased. Conversely, if line C is less steep, it indicates a decrease in slope.
2. **Vertical Movement**: If line C is shifted upwards or downwards compared to line B, this can be described as moving up or down along the y-axis.
So your choices would depend on the analysis of the slope and position of line C in relation to line B.
Based on the responses provided:
- If line C appears steeper than line B, then "The slope of the line has been increased by a factor of 5 units" would be correct.
- If line C is not as steep as line B, then "The line has been decreased by a factor of 5 units" would be appropriate.
- If line C is positioned lower than line B on the graph, select "The line has moved down 5 units on the y-axis."
- If line C is higher than line B, then the correct choice is "The line has moved up 5 units on the y-axis."
Since I can't see the graph, please use the descriptions above to determine which response is accurate based on the graphical details you observe.