Answer:
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{2}[/tex]
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], hence
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (3, 1) into the partial equation
1 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 1 - [tex]\frac{3}{2}[/tex] = - [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{2}[/tex] ← in slope- intercept form
