Question
In slope-intercept form, y = mx + b,
Please classify which statements and terms belong with the m and which belong with the b.
where does One time fee belong?
Please classify which statements and terms belong with the m and which belong with the b.
where does One time fee belong?
Answers
GPT-4o mini
In the slope-intercept form of a linear equation, \( y = mx + b \):
- **m** represents the **slope** of the line, which indicates the rate of change of \( y \) with respect to \( x \. It is the coefficient of \( x\).
- **b** represents the **y-intercept**, which is the value of \( y \) when \( x = 0\. It indicates where the line crosses the y-axis.
Regarding the term "One-time fee," it generally refers to a fixed cost that does not change regardless of the quantity or level of x (such as the number of items sold or the level of usage). Therefore, it would belong with **b** in the slope-intercept form since it represents a constant value added to the equation.
In summary:
- **One-time fee โ b (y-intercept)**
- **m** represents the **slope** of the line, which indicates the rate of change of \( y \) with respect to \( x \. It is the coefficient of \( x\).
- **b** represents the **y-intercept**, which is the value of \( y \) when \( x = 0\. It indicates where the line crosses the y-axis.
Regarding the term "One-time fee," it generally refers to a fixed cost that does not change regardless of the quantity or level of x (such as the number of items sold or the level of usage). Therefore, it would belong with **b** in the slope-intercept form since it represents a constant value added to the equation.
In summary:
- **One-time fee โ b (y-intercept)**