Answer:
y = - 5x - 1
Explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x + y = 4 into this form by subtracting 5x from both sides
y = - 5x + 4 ← in slope intercept form
with slope m = - 5
Parallel lines have equal slopes, thus
y = - 5x + c ← is the partial equation
To find c substitute (- 1, 4 ) into the partial equation
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = - 5x - 1 ← equation of line