Answer:
y = - 4x - 2
Explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x - 5 ← is in slope- intercept form
with slope m = - 4
Parallel lines have equal slopes, thus
y = - 4x + c ← is the partial equation of the parallel line
To find c substitute (- 2, 6) into the partial equation
6 = 8 + c ⇒ c = 6 - 8 = - 2
y = - 4x - 2 ← equation of parallel line