Question 20 Which shows the equation \( y=-\frac{1}{2} x+5 \) written in standard form? \[ \begin{array}{l}\text { A) } x+2 y=10 \\ \text { B) } x-2 y=10 \\ \text { C) } x+2 y=-10 \\ \text { D) } x-2 y=-10\end{array} \]

To convert the equation \( y = -\frac{1}{2}x + 5 \) into standard form (Ax + By = C), we first rearrange it by moving all terms involving \( x \) and \( y \) to one side. Multiply through by 2 to eliminate the fraction: \[ 2y = -x + 10 \] Now, we can add \( x \) to both sides: \[ x + 2y = 10 \] So, the answer is A) \( x + 2y = 10 \). To ensure you're comfortable with standard form, remember that A, B, and C should be integers, and A should be non-negative. This helps in maintaining consistency and simplicity in linear equations!