Answer:
y = x - 5
Explanation:
The equation given to us is;
y = x - 3
y = (1)x + (-3)
y = mx + c
Where m = slope of the line = 1
As parallel line have same slope, slope of second line is also 1
Use general equation to find line
y = mx + c
y = 1x + c
y = x + c
Substitute (3,-2) in the given equation:
-2 = 3 + c
c = -5
Substitute m=1 and c=-5 in general equation to find the equation of line:
y = mx + c
y = x - 5