Answer:
y = 3x + 9
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 + 7 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
to find c substitute (- 6, - 9 ) into the partial equation
- 9 = - 18 + c ⇒ c = - 9 + 18 = 9
y = 3x + 9 ← equation of parallel line