Answer:
y = - 4x - 5
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 )
y = - 4x + 5 is in this form with slope m = - 4
• Parallel lines have equal slopes, hence
y = - 4x + c ← is the partial equation of the parallel line
To find c substitute (4, - 21) into the partial equation
- 21 = - 16 + c ⇒ c = - 21 + 16 = - 5
y = - 4x - 5 ← equation of parallel line
