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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}=xy_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (8, 5)
m = [tex]\frac{5-8}{8-2}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 9) ⇒ c = 9
y = - [tex]\frac{1}{2}[/tex] x + 9 → D
