Yes, \( y \) can be expressed as a function of \( x \). In fact, the equation you provided, \( y = 5x - 7 \), already expresses \( y \) as a function of \( x \).

### Explanation:
- A function is a relation where each input has exactly one output. In this case, \( y \) depends on \( x \), and for every value of \( x \), there is exactly one value of \( y \).
- The equation \( y = 5x - 7 \) shows a linear relationship between \( y \) and \( x \), which is a function. 

### Function Notation:
If you want to express this more explicitly in function notation, you can write:
\[
f(x) = 5x - 7
\]
Here, \( f(x) \) represents the function of \( x \), and it gives you the value of \( y \) for any specific value of \( x \).

### Summary:
- The equation \( y = 5x - 7 \) expresses \( y \) as a function of \( x \).
- In function notation, this can be written as \( f(x) = 5x - 7 \).

Would you like any further details or explanations?

Here are some related questions:
1. What does the graph of \( f(x) = 5x - 7 \) look like?
2. How do you determine the domain and range of a function like \( f(x) = 5x - 7 \)?
3. What is the significance of the slope and y-intercept in the function \( f(x) = 5x - 7 \)?
4. How do you evaluate \( f(x) \) for a specific value of \( x \)?
5. What are the differences between linear and non-linear functions?

**Tip:** Understanding how to express equations in function notation is important for analyzing and graphing relationships between variables.

Learn how to express y as a function of x with a detailed explanation of function notation and linear equations. This problem explores the relationship between variables and includes examples and explanations suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation