Answer:
y = 3x + 19
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 - 8 ← 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 = 19
y = 3x + 19 ← equation of parallel line
