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Question: 1 / 400

What is the slope of the line represented by the equation 2y - 6x = 12?

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To find the slope of the line represented by the equation 2y - 6x = 12, we first need to rearrange this equation into the slope-intercept form, which is y = mx + b, where m represents the slope.

Starting with the original equation:

2y - 6x = 12

We can isolate y by following these steps:

1. Add 6x to both sides of the equation:

2y = 6x + 12

2. Next, to solve for y, divide every term by 2:

y = 3x + 6

Now, this equation is in slope-intercept form. From this form, we can identify the slope (m) directly. The coefficient of x is 3, indicating that the slope of the line is 3.

Thus, the slope of the line represented by the equation is indeed 3.

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