Answer:
y = 3x - 11
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 slope- intercept 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 (2, - 5) into the partial equation
- 5 = 6 + c ⇒ c = - 5 - 6 = - 11
y = 3x - 11 ← equation of parallel line