Answered

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Find the value of [tex]$y[tex]$[/tex] that makes the equation [tex]$[/tex]y=\frac{1}{2} x-2[tex]$[/tex] true when [tex]$[/tex]x=4$[/tex].

A) -4
B) 0
C) 1
D) 4

Sagot :

GinnyAnswer
To determine the value of \( y \) that satisfies the equation \( y = \frac{1}{2}x - 2 \) when \( x = 4 \), we should substitute \( x = 4 \) into the equation and solve for \( y \).

Step-by-step, the process is as follows:

1. Start with the given equation:
[tex]\[ y = \frac{1}{2}x - 2 \][/tex]

2. Substitute \( x = 4 \) into the equation:
[tex]\[ y = \frac{1}{2}(4) - 2 \][/tex]

3. Calculate \( \frac{1}{2}(4) \):
[tex]\[ \frac{1}{2} \times 4 = 2 \][/tex]

4. Subtract 2 from the result:
[tex]\[ 2 - 2 = 0 \][/tex]

Therefore, the value of \( y \) when \( x = 4 \) is \( 0 \).

Thus, the correct answer is:
B) 0
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