To find the value of \( y \) that makes the equation \( y = -2x + 4 \) true when \( x = 1 \), we will substitute \( x = 1 \) into the equation and solve for \( y \). Here are the steps in detail:
1. Start with the given equation:
[tex]\[
y = -2x + 4
\][/tex]
2. Substitute \( x = 1 \) into the equation:
[tex]\[
y = -2(1) + 4
\][/tex]
3. Perform the multiplication first:
[tex]\[
y = -2 \cdot 1 + 4
\][/tex]
[tex]\[
y = -2 + 4
\][/tex]
4. Then, perform the addition:
[tex]\[
y = 2
\][/tex]
So, the value of \( y \) that makes the equation true when \( x = 1 \) is \( y = 2 \).
Therefore, the correct answer is:
C) 2
