Question

find the x-intercept and the y-intercept of the graph of the equation
2x + 6y = 12
the x-intercept is 6. (type an integer)
the y-intercept is \square. (type an integer)

Explanation:

Step1: Recall y-intercept definition

To find the y-intercept, set \( x = 0 \) in the equation \( 2x + 6y = 12 \).

Step2: Substitute \( x = 0 \)

Substituting \( x = 0 \) gives \( 2(0) + 6y = 12 \), which simplifies to \( 6y = 12 \).

Step3: Solve for \( y \)

Divide both sides by 6: \( y=\frac{12}{6}=2 \).

Answer:

2