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Answer:
y = - x - 7
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slope m of the given line using the slope formula
m =
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line
m = = -
, thus
y = - x + c ← is the partial equation
To find c substitute P(- 3, - 3) into the partial equation
- 3 = 4 + c ⇒ c = - 3 - 4 = - 7
y = - x - 7 ← equation of parallel line