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 slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)
m = [tex]\frac{4-6}{8-3}[/tex] = - [tex]\frac{2}{5}[/tex], hence
y = - [tex]\frac{2}{5}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 4), then
4 = - [tex]\frac{16}{5}[/tex] + c ⇒ c = 4 + [tex]\frac{16}{5}[/tex] = [tex]\frac{36}{5}[/tex]
y = - [tex]\frac{2}{5}[/tex] x + [tex]\frac{36}{5}[/tex] ← equation of line
