To write the equation in slope-intercept form (where represents the slope and represents the -intercept), we follow these steps:
Step 1: Isolate the term
We begin by subtracting from both sides of the equation:
5x + 6y - 5x = 18 - 5x
6y = -5x + 18
Step 2: Solve for
Next, we divide each term of the equation by to get alone: