Answer:
x + y = 5
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 + y = 4 ( subtract x from both sides )
y = - x + 4 ← in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes , then
y = - x + c ← is the partial equation
To find c substitute (3, 2 ) into the partial equation
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - x + 5 ( add x to both sides )
x + y = 5 ← equation of parallel line