Answer:
y = 3x + 2
Explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(x) = 3x - 4 is in this form
with m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation
To find c substitute (1, 5) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = 3x + 2 ← is the equation of the parallel line