The image shows a table where the relationship between $x$ and $y$ is given by the equation:

$y = x + 1$

We need to fill in the values of $y$ for each corresponding $x$ value in the table.

Calculations

1. For $x = 4$: $y = 4 + 1 = 5$

2. For $x = 5$: $y = 5 + 1 = 6$

3. For $x = 6$: $y = 6 + 1 = 7$

4. For $x = 7$: $y = 7 + 1 = 8$

Filled Table

The values of $y$ corresponding to $x = 4, 5, 6,$ and $7$ are $5, 6, 7,$ and $8$, respectively.

Would you like more details or have any questions?

Related Questions:

1. What is the slope of the equation $y = x + 1$?
2. How do you graph the equation $y = x + 1$ on a coordinate plane?
3. What happens to the value of $y$ if $x$ is negative?
4. How can you determine if two lines are parallel?
5. How would you write the equation if it passes through a different point, such as $(2, 5)$?

Tip:

When given a linear equation in the form $y = mx + b$, $m$ represents the slope of the line and $b$ is the y-intercept where the line crosses the y-axis.