Answer:
y = - 3x - 8
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 ) = (- 3, 1) and (x₂, y₂ ) = (0, - 8)
m = [tex]\frac{-8-1}{0+3}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3
The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8
y = - 3x - 8 ← equation of line
