Answer:
y = - x
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 )
y = - x - 5 ← is in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation of the parallel line
To find c substitute (- 2, 2) into the partial equation
2 = 2 + c ⇒ c = 2 - 2 = 0
y = - x ← equation of parallel line
