Question
Fill in the missing information in the chart.
Slope-Intercept Equation
y=4x-2
Slope
¡ Answer
i_----.
i--;
i Answer 1-----.
3
#y=2x+ 10
(0,-2)
::y=3x-2
#4
y-intercept i---;
• Answer
(0, -2)
$ (0,2)
::2
Slope-Intercept Equation
y=4x-2
Slope
¡ Answer
i_----.
i--;
i Answer 1-----.
3
#y=2x+ 10
(0,-2)
::y=3x-2
#4
y-intercept i---;
• Answer
(0, -2)
$ (0,2)
::2
Answers
GPT-4o mini
To fill in the missing information from the chart for the given slope-intercept equations, let’s break down each equation.
### 1. For the equation \( y = 4x - 2 \):
- **Slope**: The coefficient of \( x \) (which is 4) is the slope.
- **Answer**: 4
- **y-intercept**: This is the constant term (which is -2).
- **Answer**: -2
- Thus, the point of the y-intercept is \( (0, -2) \).
### 2. For the equation \( y = 2x + 10 \):
- **Slope**: The coefficient of \( x \) (which is 2) is the slope.
- **Answer**: 2
- **y-intercept**: The constant term (which is 10).
- **Answer**: 10
- Thus, the point of the y-intercept is \( (0, 10) \).
### 3. For the equation \( y = 3x - 2 \):
- **Slope**: The coefficient of \( x \) (which is 3) is the slope.
- **Answer**: 3
- **y-intercept**: The constant term (which is -2).
- **Answer**: -2
- Thus, the point of the y-intercept is \( (0, -2) \).
### Summary of Filled Information:
| Equation | Slope | y-intercept | y-intercept Point |
|-------------------|-------|-------------|---------------------|
| \( y = 4x - 2 \) | 4 | -2 | \( (0, -2) \) |
| \( y = 2x + 10 \)| 2 | 10 | \( (0, 10) \) |
| \( y = 3x - 2 \) | 3 | -2 | \( (0, -2) \) |
If you need to fill in specific spots in your original chart, please let me know!
### 1. For the equation \( y = 4x - 2 \):
- **Slope**: The coefficient of \( x \) (which is 4) is the slope.
- **Answer**: 4
- **y-intercept**: This is the constant term (which is -2).
- **Answer**: -2
- Thus, the point of the y-intercept is \( (0, -2) \).
### 2. For the equation \( y = 2x + 10 \):
- **Slope**: The coefficient of \( x \) (which is 2) is the slope.
- **Answer**: 2
- **y-intercept**: The constant term (which is 10).
- **Answer**: 10
- Thus, the point of the y-intercept is \( (0, 10) \).
### 3. For the equation \( y = 3x - 2 \):
- **Slope**: The coefficient of \( x \) (which is 3) is the slope.
- **Answer**: 3
- **y-intercept**: The constant term (which is -2).
- **Answer**: -2
- Thus, the point of the y-intercept is \( (0, -2) \).
### Summary of Filled Information:
| Equation | Slope | y-intercept | y-intercept Point |
|-------------------|-------|-------------|---------------------|
| \( y = 4x - 2 \) | 4 | -2 | \( (0, -2) \) |
| \( y = 2x + 10 \)| 2 | 10 | \( (0, 10) \) |
| \( y = 3x - 2 \) | 3 | -2 | \( (0, -2) \) |
If you need to fill in specific spots in your original chart, please let me know!
THERES only 2 answers on each
GPT-4o mini
Apologies for any confusion earlier! Let's streamline the answers to fit the format you've indicated, focusing on each equation with just the necessary information:
1. **For the equation \( y = 4x - 2 \)**:
- **Slope**: 4
- **y-intercept**: -2
- **y-intercept point**: \( (0, -2) \)
2. **For the equation \( y = 2x + 10 \)**:
- **Slope**: 2
- **y-intercept**: 10
- **y-intercept point**: \( (0, 10) \)
3. **For the equation \( y = 3x - 2 \)**:
- **Slope**: 3
- **y-intercept**: -2
- **y-intercept point**: \( (0, -2) \)
### Summary of Answers:
- For \( y = 4x - 2 \):
- **Slope**: 4
- **y-intercept**: -2
- For \( y = 2x + 10 \):
- **Slope**: 2
- **y-intercept**: 10
- For \( y = 3x - 2 \):
- **Slope**: 3
- **y-intercept**: -2
If you're looking for a more compact version or need specific slots filled in a different way, just let me know!
1. **For the equation \( y = 4x - 2 \)**:
- **Slope**: 4
- **y-intercept**: -2
- **y-intercept point**: \( (0, -2) \)
2. **For the equation \( y = 2x + 10 \)**:
- **Slope**: 2
- **y-intercept**: 10
- **y-intercept point**: \( (0, 10) \)
3. **For the equation \( y = 3x - 2 \)**:
- **Slope**: 3
- **y-intercept**: -2
- **y-intercept point**: \( (0, -2) \)
### Summary of Answers:
- For \( y = 4x - 2 \):
- **Slope**: 4
- **y-intercept**: -2
- For \( y = 2x + 10 \):
- **Slope**: 2
- **y-intercept**: 10
- For \( y = 3x - 2 \):
- **Slope**: 3
- **y-intercept**: -2
If you're looking for a more compact version or need specific slots filled in a different way, just let me know!
Wait there’s only one option on each lol
GPT-4o mini
Got it! If there's only one answer needed for each equation, let's simplify it to just the slope and y-intercept for each case in a single line:
### Answers:
1. **For \( y = 4x - 2 \)**:
- **Slope**: 4
2. **For \( y = 2x + 10 \)**:
- **Slope**: 2
3. **For \( y = 3x - 2 \)**:
- **Slope**: 3
### Y-Intercepts:
1. **For \( y = 4x - 2 \)**:
- **y-intercept**: -2
2. **For \( y = 2x + 10 \)**:
- **y-intercept**: 10
3. **For \( y = 3x - 2 \)**:
- **y-intercept**: -2
### Chosen Option:
If you need just one option for slope or y-intercept for any specific line, please clarify and I will choose the most relevant one!
### Answers:
1. **For \( y = 4x - 2 \)**:
- **Slope**: 4
2. **For \( y = 2x + 10 \)**:
- **Slope**: 2
3. **For \( y = 3x - 2 \)**:
- **Slope**: 3
### Y-Intercepts:
1. **For \( y = 4x - 2 \)**:
- **y-intercept**: -2
2. **For \( y = 2x + 10 \)**:
- **y-intercept**: 10
3. **For \( y = 3x - 2 \)**:
- **y-intercept**: -2
### Chosen Option:
If you need just one option for slope or y-intercept for any specific line, please clarify and I will choose the most relevant one!