Answer:
y = - 3x + 4
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 = - 3x - 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + c ← is the partial equation
To find c substitute (3, - 5) into the partial equation
- 5 = - 9 + c ⇒ c = - 5 + 9 = 4
y = - 3x + 4 ← equation of parallel line
