Solution:
Given that;
A line is parallel to y=x-3 and contains the point that (3,-2).
To find the equation of the line, the slope-intercept form of a line is

The slope of the given equation is

Since the line is parallel to the given equation, the slope of the line is 1
Where

Substitute the coordinates into the slope-intercept form of a line above

The equation of the line becomes

Hence, the answer is
