Answer:
y = - 3x - 6
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 )
Here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (- 4, 6) into the partial equation
6 = 12 + c ⇒ c = 6 - 12 = - 6
y = - 3x - 6 ← equation of line