Respuesta :

Answer:

y = [tex]\frac{1}{2}[/tex] x + 5

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 m = [tex]\frac{1}{2}[/tex] , then

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 = 5

y = [tex]\frac{1}{2}[/tex] x + 5 ← equation of line