Answer: -2
Step-by-step explanation:
The equation of a line in slope - intercept form is given as :
[tex]y = mx + c[/tex]
where m is the slope and c is the y - intercept.
Equation given :
[tex]y - 9 = -2(x-8)[/tex]
⇒ [tex]y - 9 = -2x + 16[/tex]
add 9 to both sides , we have
[tex]y = -2x + 16 + 9[/tex]
[tex]y = -2x + 25[/tex]
comparing with :
[tex]y = mx + c[/tex]
slope = -2