To convert the equation from standard form to slope-intercept form (where represents the slope and represents the -intercept), we'll follow these steps:
Step 1: Isolate the term
We start by subtracting from both sides of the equation:
10x - 4y - 10x = 28 - 10x
-4y = -10x + 28
Step 2: Solve for
Next, we divide each term by to get by itself: