To write the equation in slope-intercept form (where is the slope and is the -intercept), we'll follow these steps:
Step 1: Isolate the term
We start by subtracting from both sides of the equation:
3x + 2y - 3x = 8 - 3x
2y = -3x + 8
Step 2: Solve for
Next, we divide each term by to get