Questions: y = 1/2 x + 4 Complete the table. x y -2 3 Complete the table. x y 0

y = 1/2 x + 4 Complete the table. x y -2 3 Complete the table. x y 0
Transcript text: \[ y=\frac{1}{2} x+4 \] Complete the table. \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-2 & 3 \\ \hline \end{tabular} Complete the table. \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & $\square$ \\ \hline \end{tabular}
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Solution

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Solution Steps

To complete the table for the given linear equation \( y = \frac{1}{2}x + 4 \), we need to substitute the given \( x \) values into the equation and solve for \( y \).

Part 1

For \( x = -2 \):

  1. Substitute \( x = -2 \) into the equation \( y = \frac{1}{2}x + 4 \).
  2. Calculate the value of \( y \).
Part 2

For \( x = 0 \):

  1. Substitute \( x = 0 \) into the equation \( y = \frac{1}{2}x + 4 \).
  2. Calculate the value of \( y \).
Step 1: Calculate \( y \) for \( x = -2 \)

Given the equation: \[ y = \frac{1}{2}x + 4 \] Substitute \( x = -2 \): \[ y = \frac{1}{2}(-2) + 4 = -1 + 4 = 3 \]

Step 2: Calculate \( y \) for \( x = 0 \)

Substitute \( x = 0 \): \[ y = \frac{1}{2}(0) + 4 = 0 + 4 = 4 \]

Final Answer

\(\boxed{4}\)

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