To determine if the point (0, 4) is a solution to the equation \( y = \frac{1}{2} x + 4 \), you should substitute \( x = 0 \) and \( y = 4 \) into the equation.
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Substitute \( x = 0 \) into the equation: \[ y = \frac{1}{2} \cdot 0 + 4 \] \[ y = 0 + 4 \] \[ y = 4 \]
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Now, substitute \( y = 4 \):
- The left side is \( 4 \).
- The right side is also \( 4 \).
Since both sides of the equation are equal, the point (0, 4) is indeed a solution to the equation.
Thus, the correct statement is: Yes, because when you substitute 0 for x and 4 for y, the equation is true.