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 )
given slope m = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c, substitute (3, - 2 ) for x and y in the partial equation
- 2 = - [tex]\frac{1}{2}[/tex] (3) + c = - [tex]\frac{3}{2}[/tex] + c ( add [tex]\frac{3}{2}[/tex] to both sides )
- [tex]\frac{4}{2}[/tex] + [tex]\frac{3}{2}[/tex] = c ⇒ c = - [tex]\frac{1}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{2}[/tex] ← equation of line
