You are given the set of values for \( x \) as \( \{-3, -1, 1, 4\} \) and the equation \( y = 3x - 4 \). Let's compute the corresponding \( y \)-values for each \( x \).

### Step-by-step calculations:
1. For \( x = -3 \):
   \[
   y = 3(-3) - 4 = -9 - 4 = -13
   \]
2. For \( x = -1 \):
   \[
   y = 3(-1) - 4 = -3 - 4 = -7
   \]
3. For \( x = 1 \):
   \[
   y = 3(1) - 4 = 3 - 4 = -1
   \]
4. For \( x = 4 \):
   \[
   y = 3(4) - 4 = 12 - 4 = 8
   \]

### Final Results:
- \( x = -3 \), \( y = -13 \)
- \( x = -1 \), \( y = -7 \)
- \( x = 1 \), \( y = -1 \)
- \( x = 4 \), \( y = 8 \)

Would you like a detailed explanation of how the function behaves? Or do you have any specific questions about this?

Here are some related questions you might want to explore:
1. What is the slope and y-intercept of the line \( y = 3x - 4 \)?
2. How does the graph of \( y = 3x - 4 \) look for other values of \( x \)?
3. Can you find the point where this line intersects the x-axis?
4. What would happen if you changed the slope to a different value, say \( y = 2x - 4 \)?
5. How can you determine if a point lies on this line?

**Tip:** The slope of a line tells you how much \( y \) changes for each unit increase in \( x \). In this case, the slope is 3, meaning for every 1 unit increase in \( x \), \( y \) increases by 3.

The query submitted by the user: {-3,-1,1,4}, y=3x-4

Learn how to solve the linear equation y = 3x - 4 for the given x-values {-3, -1, 1, 4}. This detailed solution walks through key algebraic steps to calculate the corresponding y-values. Perfect for students in Grades 6-8.

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