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), you can follow these steps:
- Divide both sides of the equation by 3 to isolate \( y \):
\[ y = \frac{6x - 18}{3} \]
- Simplify the right-hand side:
\[ y = 2x - 6 \]
So, the equation in slope-intercept form is:
\[ y = 2x - 6 \]
Here, the slope \( m \) is 2, and the y-intercept \( b \) is -6.