Let's find the intercepts of the given equation $2x + 4y = -12$.

Step 1: Find the x-intercept

The x-intercept is where $y = 0$. Substitute $y = 0$ into the equation:

$2x + 4(0) = -12$

$2x = -12$

$x = -6$

So, the x-intercept is $(-6, 0)$.

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Step 2: Find the y-intercept

The y-intercept is where $x = 0$. Substitute $x = 0$ into the equation:

[ 2(0) + 4y = -12