Answer:
C
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 )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (0, 8)
m = [tex]\frac{8+4}{0-2}[/tex] = [tex]\frac{12}{-2}[/tex] = - 6
note the line passes through the point (0, 8) ⇒ c = 8
y = - 6x + 8 → C
