Respuesta :

Answer:

y = [tex]\frac{1}{2}[/tex] 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 )

Here m = [tex]\frac{1}{2}[/tex] so

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

To find c substitute (4, 6) into the partial equation

6 = 2 + c ⇒ c = 6 - 2 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line