Answer:
y = 2x - 14
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 = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To fid c substitute (5, - 4) into the partial equation
- 4 = 10 + c ⇒ c = - 4 - 10 = - 14
y = 2x - 14 ← equation of parallel line