Answer:
y = - [tex]\frac{2}{3}[/tex] x + 8
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{2}{3}[/tex], thus
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (6, 4) into the partial equation
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = - [tex]\frac{2}{3}[/tex] x + 8 ← equation of line
