Answer:
B
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, - 2) ← 2 points on the line
m = [tex]\frac{-2-6}{4-0}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2
Note the line crosses the y- axis at (0, 6) ⇒ c = 6
y = - 2x + 6 → B
