Answer:
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{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 (5, 1 ) into the partial equation
1 = [tex]\frac{5}{2}[/tex] + c ⇒ c = - [tex]\frac{3}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ← in slope-intercept form
