Answer:
4th option
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 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 ) into the partial equation
2 = - [tex]\frac{3}{2}[/tex] + c ⇒ 2 + [tex]\frac{3}{2}[/tex] = [tex]\frac{7}{2}[/tex] = 3.5
y = [tex]\frac{1}{2}[/tex] x + 3.5 ← equation of line
