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2y=6x+2 in y=mx+b

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Answered by GPT-4o mini
To convert the equation \(2y = 6x + 2\) into the slope-intercept form \(y = mx + b\), where \(m\) represents the slope and \(b\) represents the y-intercept, you can follow these steps:

1. Start with the original equation:
\[
2y = 6x + 2
\]

2. Divide every term by 2 to solve for \(y\):
\[
y = \frac{6x}{2} + \frac{2}{2}
\]

3. Simplify the equation:
\[
y = 3x + 1
\]

Now, the equation is in the form \(y = mx + b\), where \(m = 3\) and \(b = 1\). Thus, the slope is 3 and the y-intercept is 1.