Through: (-2, 2), parallel to y=-x - 5

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

Y=-x

Lines are parallel when they have the same slope with a different y-axis.