To convert the given equation 5x - 5y = 25 into the slope-intercept form y = mx + b, where 'm' is the slope and 'b' is the y-intercept, you follow certain steps:
1. Write the given equation in terms of 'y'. Begin by writing the equation as 5x - 25 = 5y.
2. Next, isolate y in the equation by dividing each term by 5.
Doing so simplifies the equation to y = x - 5.
Therefore, the slope-intercept form of the equation 5x - 5y = 25 is y = x - 5.