Question

Fill in the table using this function rule.
y=-2x+3

X Y
-4

-2

0

2

Answer 1

To fill in the table using the function rule \( y = -2x + 3 \), we can substitute each value of \( x \) into the equation to find \( y \).

Let's calculate \( y \) for each \( x \):

1. **For \( x = -4 \)**:
\[
y = -2(-4) + 3 = 8 + 3 = 11
\]

2. **For \( x = -2 \)**:
\[
y = -2(-2) + 3 = 4 + 3 = 7
\]

3. **For \( x = 0 \)**:
\[
y = -2(0) + 3 = 0 + 3 = 3
\]

4. **For \( x = 2 \)**:
\[
y = -2(2) + 3 = -4 + 3 = -1
\]

Now we can fill in the completed table:

\[
\begin{array}{|c|c|}
\hline
X & Y \\
\hline
-4 & 11 \\
-2 & 7 \\
0 & 3 \\
2 & -1 \\
\hline
\end{array}
\]