Answer:
y = - [tex]\frac{5}{2}[/tex] x + 11
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{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, - 9) into the partial equation
- 9 = - 20 + c ⇒ c = - 9 + 20 = 11
y = - [tex]\frac{5}{2}[/tex] x + 11 ← equation of line