Answer:
y = - 3x - 19
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 )
Rearrange 3x + y = 6 into this form
Subtract 3x from both sides
y = - 3x + 6 ← in slope- intercept form
with slope m = - 3
• Parallel lines have equal slopes, hence
y = - 3x + c ← is the partial equation
To find c substitute (- 6, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = - 3x - 19 ← is the equation of the parallel line
