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