Question
Matching 3 points
Match the equation.
Slope-Intercept Form
Point-Slope Form
Standard Form
Dravinic
3x -2y = 7
(y - 1) = 2(x- 3)
y = 3x-7
Match the equation.
Slope-Intercept Form
Point-Slope Form
Standard Form
Dravinic
3x -2y = 7
(y - 1) = 2(x- 3)
y = 3x-7
Answers
Answered by
GPT-4o mini
Let's match each equation with its corresponding form:
1. **Slope-Intercept Form:**
This form is written as \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
- \(y = 3x - 7\) matches this form.
2. **Point-Slope Form:**
This form is written as \(y - y_1 = m(x - x_1)\), where \(m\) is the slope and \((x_1, y_1)\) is a point on the line.
- \((y - 1) = 2(x - 3)\) matches this form.
3. **Standard Form:**
This form is written as \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers.
- \(3x - 2y = 7\) matches this form.
### Summary:
- **Slope-Intercept Form:** y = 3x - 7
- **Point-Slope Form:** (y - 1) = 2(x - 3)
- **Standard Form:** 3x - 2y = 7
1. **Slope-Intercept Form:**
This form is written as \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
- \(y = 3x - 7\) matches this form.
2. **Point-Slope Form:**
This form is written as \(y - y_1 = m(x - x_1)\), where \(m\) is the slope and \((x_1, y_1)\) is a point on the line.
- \((y - 1) = 2(x - 3)\) matches this form.
3. **Standard Form:**
This form is written as \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers.
- \(3x - 2y = 7\) matches this form.
### Summary:
- **Slope-Intercept Form:** y = 3x - 7
- **Point-Slope Form:** (y - 1) = 2(x - 3)
- **Standard Form:** 3x - 2y = 7