We are given the equation $y + 7x = 10$. First, let's solve for $y$ in terms of $x$.

Step 1: Solve the equation for $y$

$y + 7x = 10$ Subtract $7x$ from both sides: $y = 10 - 7x$

Step 2: Find $y$ for each given value of $x$

• When $x = -1$: $y = 10 - 7(-1) = 10 + 7 = 17$

• When $x = 0$: $y = 10 - 7(0) = 10$

• When $x = 4$: $y = 10 - 7(4) = 10 - 28 = -18$

Final values of $y$:

• For $x = -1$, $y = 17$
• For $x = 0$, $y = 10$
• For $x = 4$, $y = -18$

Let me know if you'd like a more detailed explanation, or if you have any questions.

Here are 5 related questions:

1. What happens to $y$ as $x$ increases?
2. Can you graph the equation $y = 10 - 7x$?
3. How do you find the intercepts of the equation?
4. What is the slope of the line represented by $y = 10 - 7x$?
5. What is the effect of changing the constant on the right side of the equation?

Tip: The slope in a linear equation represents how much $y$ changes for every unit increase in $x$.