Answer:
y = - 6x - 19
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 - 4 ← is in slope- intercept form
with slope m = - 6
• Parallel lines have equal slopes, thus
y = - 6x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = - 6x - 19 ← in slope- intercept form