Final answer:
The inequality y > x - 3 can be written in slope-intercept form as y = x - 3, which is an equation with a slope of 1 and a y-intercept of -3.
Step-by-step explanation:
The given inequality is y > x - 3. To change this inequality into slope-intercept form, we consider a similar equation by replacing the inequality sign with an equal sign, which gives us y = x - 3. In this form, it is clear that the slope (m) of the line is 1 (since for every increase of 1 on the horizontal axis, there is a rise of 1 on the vertical axis) and the y-intercept (b) is -3 (since this is the point where the line intersects the y-axis). Changing it into an equation rather than inequality, we already have y = x - 3 which is the slope-intercept form of the line represented by the original inequality.