Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 4) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0+4}{4+4}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
Using (a, b) = (- 4, - 4), then
y - (- 4) = [tex]\frac{1}{2}[/tex] (x - (- 4)), that is
y + 4 = [tex]\frac{1}{2}[/tex] (x + 4) → A
