Answer:
D
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 0.5) and (x₂, y₂ ) = (4, - 0.5)
m = [tex]\frac{-0.5-0.5}{4+4}[/tex] = - [tex]\frac{1}{8}[/tex]
y = - [tex]\frac{1}{8}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, - 0.5 ), then
- 0.5 = - 0.5 + c ⇒ c = - 0.5 + 0.5 = 0
y = - [tex]\frac{1}{8}[/tex] x → D
