Answer:
y = - 3x - 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 )
Given
3x + y = 3 ( subtract 3x from both sides )
y = - 3x + 3 ← 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 (- 1, 2) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = - 3x - 1 ← equation of parallel line
