Final answer:
The slope of the line is 1.
Step-by-step explanation:
The slope of a line in mathematics represents the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. It indicates the steepness or incline and is calculated as the change in y-coordinates divided by the change in x-coordinates.
The equation y-3=(x-2) represents a line in slope-intercept form, which is y=mx+b, where m is the slope of the line and b is the y-intercept. To find the slope of the given line, we can compare it to the slope-intercept form. In this case, the slope is 1. This means that for every 1 increase in the x-coordinate, the y-coordinate increases by 1 as well.