To convert the equation \(3y = 6x - 18\) into slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
- Divide both sides of the equation by 3 to solve for \(y\):
\[ y = \frac{6x - 18}{3} \]
- Simplify the right-hand side:
\[ y = 2x - 6 \]
Now, the equation in slope-intercept form is:
\[ y = 2x - 6 \]
Here, the slope \(m\) is 2 and the y-intercept \(b\) is -6.
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