Answer:
y = 3x - 14
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 - 4 is in this form with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (4, - 2) into the partial equation
- 2 = 12 + c ⇒ c = - 2 - 12 = - 14
y = 3x - 14 ← equation of parallel line
