For each equation given below, name the dependent and independent variables.
`y=4/3x-7`

Answer

To determine the dependent and independent variables in the equation \( y = \frac{4}{3}x - 7 \), we can follow these steps:

### Step 1: Identify the Variables
In the equation \( y = \frac{4}{3}x - 7 \), we have two variables: \( x \) and \( y \).

### Step 2: Understand the Relationship
The equation expresses \( y \) in terms of \( x \). This means that the value of \( y \) depends on the value of \( x \).

### Step 3: Define Independent and Dependent Variables
- **Independent Variable**: This is the variable that you can change freely. In this case, \( x \) is the independent variable because you can choose any value for \( x \).
- **Dependent Variable**: This is the variable that depends on the value of the independent variable. Here, \( y \) is the dependent variable because its value is determined by the value of \( x \).

### Conclusion
Thus, in the equation \( y = \frac{4}{3}x - 7 \):
- The independent variable is \( x \).
- The dependent variable is \( y \).

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