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.