Given:
(x₁,y₁) = (-2,4)
(x₂,y₂) = (0,2)
Determine the slope of the function
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 4) / (0 + 2)
m = -2/2
m = -1
Determine the equation
y - y₁ = m(x - x₁)
y - 4 = -1(x - (-2))
y - 4 = -1 (x + 2)
y - 4 = -x - 2
y = -x - 2 + 4
y = -x + 2
f(x) = -x + 2
The correct answer is first option