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