y = - [tex]\frac{2}{3}[/tex] x - 2
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 gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0 , - 2 ) and (x₂ , y₂ ) = A( 6 , - 6 )
m = [tex]\frac{- 6+ 2}{6 - 0}[/tex] = [tex]\frac{-4}{6}[/tex] = - [tex]\frac{2}{3}[/tex]
y -intercept c = - 2 ( from graph )
y = - [tex]\frac{2}{3}[/tex] x - 2
