Question

consider the equation y=x/5+2
fill in the blanks to complete the table of values
x=-5,0,5,10
y

Answer 1

To complete the table of values for the equation \( y = \frac{x}{5} + 2 \), we can substitute the given \( x \) values into the equation.

1. For \( x = -5 \):
\[
y = \frac{-5}{5} + 2 = -1 + 2 = 1
\]

2. For \( x = 0 \):
\[
y = \frac{0}{5} + 2 = 0 + 2 = 2
\]

3. For \( x = 5 \):
\[
y = \frac{5}{5} + 2 = 1 + 2 = 3
\]

4. For \( x = 10 \):
\[
y = \frac{10}{5} + 2 = 2 + 2 = 4
\]

Now we can fill in the blanks in the table:

| x | y |
|-----|-----|
| -5 | 1 |
| 0 | 2 |
| 5 | 3 |
| 10 | 4 |

Thus, the completed table of values is:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-5 & 1 \\
0 & 2 \\
5 & 3 \\
10 & 4 \\
\hline
\end{array}
\]