Answer:
y = - 6x - 15
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 = - 6x + 2 ← is in slope- intercept form
with slope m = - 6
Parallel lines have equal slopes then
y = - 6x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = 12 + c ⇒ c = - 3 - 12 = - 15
y = - 6x - 15 ← equation of parallel line
