which shows 3x+6y=-12 in slope-intercept form?

option a: y=-1/2x-2
option b: y=-2x-12
option c: y=1/2x-12
option d: y=2x-2

my answer is; a

yup

You need to repost this and put Math in the School Subject space. You're more likely to get a response from a math tutor.

First, subtract 3x from both sides.

6y = -3x + (-12)

Now, divide all by 6.

y = -1/2x + (-2) or y = -1/2x - 2

It's all right well done :)

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To determine which option represents the equation 3x + 6y = -12 in slope-intercept form, you need to rearrange the equation to isolate y. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.

Step 1: Start with the given equation: 3x + 6y = -12.

Step 2: Move the 3x term to the other side of the equation by subtracting 3x from both sides: 6y = -3x - 12.

Step 3: Divide both sides of the equation by 6 to isolate y: y = (-3/6)x - 2.

Step 4: Simplify the equation: y = (-1/2)x - 2.

Now that the equation is in slope-intercept form, y = (-1/2)x - 2, you can compare it to the options provided. Option a, y = -1/2x - 2, matches the equation obtained through rearrangement. Therefore, your answer is correct.