Answer:
y = 4x + 3
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 + 1 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
To find c substitute (1, 7 ) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = 4x + 3 ← equation of parallel line