Through (1,5); parallel to f (x) = 3x-4

y = 3x + 2

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)

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