Answer:
y = 3x - 10
Explanation:
Assuming you require the equation of the parallel line through (2, - 4)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 24 ← 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, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = 3x - 10 ← equation of parallel line