Answer:
y = - 6x - 3
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 ) = (- 2, 9) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-9}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - 6x - 3 ← equation of line
