Answer:
y = - 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b 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, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-4}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2
y = - 3x - 2 ← equation of line
