Question

what is the y-intercept of the line: 2y - 2x = 4

Explanation:

Step1: Recall y-intercept definition

The y-intercept is the value of \( y \) when \( x = 0 \). So we substitute \( x = 0 \) into the equation \( 2y - 2x = 4 \).

Step2: Substitute \( x = 0 \)

Substituting \( x = 0 \) gives \( 2y - 2(0) = 4 \), which simplifies to \( 2y = 4 \).

Step3: Solve for \( y \)

Divide both sides of \( 2y = 4 \) by 2: \( y=\frac{4}{2}=2 \).

Answer:

2