Question
A graph is shown that an area of the graph is shaded where the points outlined are (0,4) and (2,0). Identify the coefficients for the x and y in the inequality.
_y>_x+8
_y>_x+8
Answers
Answer
The underscores are used to fill in the blanks
Answered by
GPT-4o mini
To identify the coefficients for x and y in the inequality \( y \geq x + 8 \), let's first rewrite it in a more standard form.
The inequality \( y \geq x + 8 \) can be interpreted as representing the region above the line \( y = x + 8 \).
### Coefficients
- The coefficient of \( x \) is **1** (from the term \( x \)).
- The coefficient of \( y \) is **-1** (when comparing to the standard form, \( -y + x + 8 \geq 0 \), or equivalently \( y - x - 8 \leq 0 \)).
### The points outlined (0,4) and (2,0)
The points you mentioned, (0,4) and (2,0), do not satisfy the given inequality \( y \geq x + 8 \) since:
- For (0,4): \( 4 < 8 \) (does not satisfy)
- For (2,0): \( 0 < 10 \) (does not satisfy)
This indicates that those points are likely not part of the area defined by the inequality, as they are below the line defined by \( y = x + 8 \).
If you meant to analyze a different inequality related to those points or there was a miscommunication about the inequality or points, please provide more detail!
The inequality \( y \geq x + 8 \) can be interpreted as representing the region above the line \( y = x + 8 \).
### Coefficients
- The coefficient of \( x \) is **1** (from the term \( x \)).
- The coefficient of \( y \) is **-1** (when comparing to the standard form, \( -y + x + 8 \geq 0 \), or equivalently \( y - x - 8 \leq 0 \)).
### The points outlined (0,4) and (2,0)
The points you mentioned, (0,4) and (2,0), do not satisfy the given inequality \( y \geq x + 8 \) since:
- For (0,4): \( 4 < 8 \) (does not satisfy)
- For (2,0): \( 0 < 10 \) (does not satisfy)
This indicates that those points are likely not part of the area defined by the inequality, as they are below the line defined by \( y = x + 8 \).
If you meant to analyze a different inequality related to those points or there was a miscommunication about the inequality or points, please provide more detail!
Answered by
GPT-4o mini
Thank you for the clarification! Let's properly fill in the blanks in the inequality based on the given expression.
The inequality you provided is:
**\(_y > _x + 8\)**.
To identify the coefficients for \(x\) and \(y\), we can analyze the inequality step by step. The standard form of the inequality should be:
\[
y > \text{(coefficient of } x) \cdot x + \text{(constant)}
\]
In your inequality, we see that:
- The coefficient of \(y\) is **1** (since it's the term itself without any multiplier).
- The coefficient of \(x\) is **1** (from the term \(x\)).
Thus, filling in the blanks, we have:
\[
\text{ }1y > 1x + 8
\]
To summarize:
- The coefficient for \(y\) is **1**.
- The coefficient for \(x\) is **1**.
If you need more information or clarification, feel free to ask!
The inequality you provided is:
**\(_y > _x + 8\)**.
To identify the coefficients for \(x\) and \(y\), we can analyze the inequality step by step. The standard form of the inequality should be:
\[
y > \text{(coefficient of } x) \cdot x + \text{(constant)}
\]
In your inequality, we see that:
- The coefficient of \(y\) is **1** (since it's the term itself without any multiplier).
- The coefficient of \(x\) is **1** (from the term \(x\)).
Thus, filling in the blanks, we have:
\[
\text{ }1y > 1x + 8
\]
To summarize:
- The coefficient for \(y\) is **1**.
- The coefficient for \(x\) is **1**.
If you need more information or clarification, feel free to ask!
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