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The equation given is \( r = 3q - 4 \), and we are asked to complete the table of values for different values of \( q \).

Let's substitute each value of \( q \) into the equation to find the corresponding values of \( r \):

1. For \( q = 1 \):
   \[
   r = 3(1) - 4 = 3 - 4 = -1
   \]
2. For \( q = 2 \):
   \[
   r = 3(2) - 4 = 6 - 4 = 2
   \]
3. For \( q = 3 \):
   \[
   r = 3(3) - 4 = 9 - 4 = 5
   \]
4. For \( q = 4 \):
   \[
   r = 3(4) - 4 = 12 - 4 = 8
   \]

Now, the completed table looks like this:

| \( q \) | 1  | 2  | 3  | 4  |
|--------|----|----|----|----|
| \( r \) | -1 | 2  | 5  | 8  |

Would you like further explanation or have any other questions?

Here are some related questions you could explore:
1. What would the value of \( r \) be for \( q = 5 \)?
2. How does the slope of the equation affect the change in \( r \) as \( q \) increases?
3. How would you graph this linear equation?
4. What happens if we change the equation to \( r = 3q + 4 \)?
5. How can you find the y-intercept of this equation?

**Tip**: In linear equations like this one, the coefficient of \( q \) represents the slope, and the constant represents the y-intercept.

For the equation r = 3q - 4, complete the table of values for q = 1, 2, 3, and 4.

Learn how to complete a table of values for the linear equation r = 3q - 4 by substituting different values of q. This guide includes step-by-step solutions for q values of 1, 2, 3, and 4, making it suitable for students in Grades 6-8.

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