Answer:
first option
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}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9 ) and (x₂, y₂ ) = (3, 0 )
m = [tex]\frac{0-9}{3-0}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3
the line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - 3x + 9 ← equation of line
