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Rewrite the equation of 6x + 3y = 12 into slope-intercept form. State a coordinate pair (x,y) that would fall on that line.​

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To rewrite the equation 6x + 3y = 12 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:

1. Subtract 6x from both sides of the equation:

3y = -6x + 12

2. Now, divide both sides by 3 to isolate y:

y = (-6/3)x + 12/3

3. Simplify:

y = -2x + 4

So, the equation in slope-intercept form is y = -2x + 4.

Now, let's find a coordinate pair (x, y) that falls on this line. You can choose any value for x, and then use the equation to calculate the corresponding y-value. For example, if we choose x = 2:

y = -2(2) + 4

y = -4 + 4

y = 0

So, the coordinate pair (2, 0) falls on the line represented by the equation y = -2x + 4.

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