Parallel to Y=3x - 18 and goes

through (3,2)

y = 3x - 7

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 - 18 ← 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 (3, 2) into the partial equation

2 = 9 + c ⇒ c = 2 - 9 = - 7

y = 3x - 7 ← equation of parallel line