Write in Slope-Intercept form.
Equation:
\[
6 x+2 y=12
\]

Answer

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Answer

Final Answer: The slope-intercept form of the given equation is \(\boxed{y = 6 - 3x}\)

Steps

Step 1 ：Given the equation: \(6x + 2y = 12\)

Step 2 ：First, we need to isolate y to convert the equation into slope-intercept form (y = mx + b).

Step 3 ：Divide the entire equation by 2 to simplify: \(3x + y = 6\)

Step 4 ：Then, subtract 3x from both sides to isolate y: \(y = 6 - 3x\)

Step 5 ：Final Answer: The slope-intercept form of the given equation is \(\boxed{y = 6 - 3x}\)