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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 2) and (x₂, y₂ ) = (- 4, - 4)
m = [tex]\frac{-4+2}{-4-4}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex] , thus
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (- 4, - 4), then
- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3
y = [tex]\frac{1}{4}[/tex] x - 3 → C
