Which of the following is an equation of the line that passes through the point (2, 2) and is parallel to the graph of the equation y = 3x − 1? A. y = 3x + 4 B. y = 3x − 4 C. y = 3x + 1 D. y = 3x + 2

B

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 = 3x - 1 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = 3x - 4 → B