13) through: (2, - 3), parallel to y = - x + 4

y = - x - 1

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 + 4 ← 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, - 3) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = - x - 1 ← equation of parallel line