Teagan is creating the table of values for the linear equation 𝑦=𝑥+13.What value belongs where the question mark is?𝑥𝑦−3 101 ?6 198 21

1. Break Down the Problem

To find the missing value of $y$ in the equation $y = x + 13$, we need to substitute the corresponding value of $x$ where the question mark is located.

2. Relevant Concepts

The linear equation given is $y = x + 13$. This formula shows that for every value of $x$, $y$ can be calculated by adding 13 to $x$.

3. Analysis and Detail

From the table provided, it seems that we need to identify the $x$ value that corresponds to the question mark (which I'll denote as $y'$).

Assuming that the first column represents $x$ values, we can write them down:

• For $x = -3$, the linear equation gives $y = -3 + 13 = 10$.
• For $x = 1$, $y = 1 + 13 = 14$.
• For $x = ?$, we need to find $y'$.
• For $x = 6$, $y = 6 + 13 = 19$.
• For $x = 2$, $y = 2 + 13 = 15$.
• For $x = 1$, $y = 1 + 13 = 14$ (seems to be a repeat).

4. Verify and Summarize

To find $y'$, identify the $x$ value leading to it:

If the position of the question mark corresponds to $x = 2$, then: $y' = 2 + 13 = 15$

Final Answer

The value that belongs where the question mark is:

$y' = 15$