Question
Use the slider to change the value of m.
As the value of m changes from 1 to 3, the graph
.
As the value of m changes from –6 to –1, the graph
.
If the value of m is negative, the slope of the line is
.
As the value of m changes from 1 to 3, the graph
.
As the value of m changes from –6 to –1, the graph
.
If the value of m is negative, the slope of the line is
.
Answers
Answered by
GPT-4o mini
It appears that you are discussing the impact of the value of \( m \) on the graph of a line, where \( m \) typically represents the slope. The behavior of the graph and slope changes depending on the value of \( m \). Here’s how the statements can be completed:
1. As the value of \( m \) changes from 1 to 3, the graph **becomes steeper**. This is because a larger positive slope results in a steeper incline going up from left to right.
2. As the value of \( m \) changes from –6 to –1, the graph **becomes less steep** and moves closer to horizontal. A less negative slope indicates that the line is rising as you move from left to right rather than falling sharply.
3. If the value of \( m \) is negative, the slope of the line is **downward**. This means that as you move from left to right along the line, the line slopes downward, indicating a negative relationship between the x and y values.
Feel free to ask if you have any further questions or need clarification!
1. As the value of \( m \) changes from 1 to 3, the graph **becomes steeper**. This is because a larger positive slope results in a steeper incline going up from left to right.
2. As the value of \( m \) changes from –6 to –1, the graph **becomes less steep** and moves closer to horizontal. A less negative slope indicates that the line is rising as you move from left to right rather than falling sharply.
3. If the value of \( m \) is negative, the slope of the line is **downward**. This means that as you move from left to right along the line, the line slopes downward, indicating a negative relationship between the x and y values.
Feel free to ask if you have any further questions or need clarification!