Answer:
y = 3x - 5
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 + 6 ← 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 (4, 7) into the partial equation
7 = 12 + c ⇒ c = 7 - 12 = - 5
y = 3x - 5 ← equation of parallel line
