Answer:
y = - 2x + 5
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 2x + 4 is in this form with slope m = - 2
• Parallel lines have equal slopes, hence
y = - 2x + c ← is the partial equation
to find c substitute (3, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - 2x + 5 ← equation of parallel line