Answer:
y = 4x + 16
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, thus
y = 4x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 12 + c ⇒ c = 4 + 12 = 16
y = 4x + 16 ← equation of parallel line
