y = - 4x - 2
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 4x - 5 is in this form
with slope m = - 4
• Parallel lines have equal slopes
y = - 4x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 8 + c ⇒ c = 6 - 8 = - 2
y = - 4x - 2 ← equation of parallel line