Final answer:
The slope-intercept form of 'x - y = 2' is y = x - 2, with the slope m being 1 and the y-intercept b being -2.
Step-by-step explanation:
The slope-intercept form of the equation 'x - y = 2' can be derived by solving for y to achieve the form of y = mx + b, where m is the slope and b is the y-intercept. First, subtract x from both sides of the equation x - y = 2 to get -y = -x + 2. Then, multiply both sides of the equation by -1 to get y = x - 2. Here, the slope m is 1 (rise over run), and the y-intercept b is -2, indicating where the line crosses the y-axis.