Answer:
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{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], thus
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 4 - [tex]\frac{3}{2}[/tex] = [tex]\frac{5}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← equation of line
