Answer:
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
