Respuesta :

Answer:

see explanation

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 )

Here slope m = [tex]\frac{1}{2}[/tex], hence

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 2, - 4) into the partial equation

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

y = [tex]\frac{1}{2}[/tex] x - 3 ← equation of line