Answer:
x - 2y = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y = 4 ( subtract x from both sides )
- 2y = - x + 4 ( divide all terms by - 2 )
y =
x - 2 ← in slope- intercept form
with slope m = 
Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (2, 2) into the partial equation
2 = 1 + c ⇒ c = 2 - 1 = 1
y =
x + 1 ← equation in slope- intercept form
Multiply through by 2
2y = x + 2 ( subtract 2y from both sides )
0 = x - 2y + 2 ( subtract 2 from both sides )
- 2 = x - 2y, that is
x - 2y = - 2 ← equation in standard form