Question

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

Explanation:

Step1: Recall x-intercept definition

The x-intercept is where \( y = 0 \) in the equation.

Step2: Substitute \( y = 0 \) into \( 2x + 6y = 12 \)

Substitute \( y = 0 \): \( 2x + 6(0) = 12 \)
Simplify: \( 2x = 12 \)

Step3: Solve for \( x \)

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

Answer:

6