Question
Describe how the graph of – 7 is like the graph of mc020-2.jpg and how it is different.
The graphs are the same shape. The y-intercept of is 0 and the x-intercept of mc020-8.jpg – 7 is –7.
The graphs have the same y-intercept. The graph of – 7 is steeper than mc020-10.jpg.
The graph of – 7 is the same as mc020-6.jpg.
The graphs are the same shape. The y-intercept of is 0 and the y-intercept of mc020-4.jpg – 7 is –7.
The graphs are the same shape. The y-intercept of is 0 and the x-intercept of mc020-8.jpg – 7 is –7.
The graphs have the same y-intercept. The graph of – 7 is steeper than mc020-10.jpg.
The graph of – 7 is the same as mc020-6.jpg.
The graphs are the same shape. The y-intercept of is 0 and the y-intercept of mc020-4.jpg – 7 is –7.
Answers
GPT-4o mini
To compare the graph of the line \( y = -7 \) with the graph of another line represented by an expression such as \( mc020 \), we would typically analyze their slopes and intercepts.
1. **Graphs' Shape**: Both graphs are linear, meaning they will have the same general shape (i.e., they are both straight lines).
2. **Y-Intercept**: In the case of \( y = -7 \), the y-intercept is at the point (0, -7). If the graph of \( mc020 \) has a y-intercept of 0, that means it crosses the y-axis at the origin (0,0).
3. **X-Intercept**: The x-intercept of \( y = -7 \) does not exist since it is a horizontal line. If \( mc020 \) has a y-intercept or crosses the x-axis at another point, that would indicate a fundamental difference in how the graphs are positioned relative to the axes.
4. **Steepness of the Graph**: The slope of \( y = -7 \) is 0, meaning it is horizontal, while if the graph of \( mc020 \) has a non-zero slope, it may appear steeper or less steep depending on the slope value.
Given the information provided:
- The graphs have the same shape (both are linear).
- The y-intercept of \( y = -7 \) is -7, while the y-intercept of \( mc020 \) (which is 0) is at the origin.
Thus, among the options stated, the closest matching description for how the graph of \( y = -7 \) is like and how it is different from the graph of \( mc020 \) would be:
- **The graphs are the same shape. The y-intercept of \( y = -7 \) is -7, and the y-intercept of \( mc020 \) (if it is at 0) is 0.**
This reflects the shared linear nature while noting their different intercepts.
1. **Graphs' Shape**: Both graphs are linear, meaning they will have the same general shape (i.e., they are both straight lines).
2. **Y-Intercept**: In the case of \( y = -7 \), the y-intercept is at the point (0, -7). If the graph of \( mc020 \) has a y-intercept of 0, that means it crosses the y-axis at the origin (0,0).
3. **X-Intercept**: The x-intercept of \( y = -7 \) does not exist since it is a horizontal line. If \( mc020 \) has a y-intercept or crosses the x-axis at another point, that would indicate a fundamental difference in how the graphs are positioned relative to the axes.
4. **Steepness of the Graph**: The slope of \( y = -7 \) is 0, meaning it is horizontal, while if the graph of \( mc020 \) has a non-zero slope, it may appear steeper or less steep depending on the slope value.
Given the information provided:
- The graphs have the same shape (both are linear).
- The y-intercept of \( y = -7 \) is -7, while the y-intercept of \( mc020 \) (which is 0) is at the origin.
Thus, among the options stated, the closest matching description for how the graph of \( y = -7 \) is like and how it is different from the graph of \( mc020 \) would be:
- **The graphs are the same shape. The y-intercept of \( y = -7 \) is -7, and the y-intercept of \( mc020 \) (if it is at 0) is 0.**
This reflects the shared linear nature while noting their different intercepts.