Answer:
y = x - 4
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, - 4) and (x₂, y₂ ) = (8, 4)
m = [tex]\frac{4+4}{8-0}[/tex] = [tex]\frac{8}{8}[/tex] = 1
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = x - 4 ← equation of line
