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], thus
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 1) into the partial equation
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - [tex]\frac{1}{2}[/tex] x + 5 ← in slope- intercept form