Answer:
[tex]\huge\boxed{y=-x+9}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
From the graph we have the y-intercept (0, 9) → b = 9.
Substitute it to the equation of a line:
[tex]y=mx+9[/tex]
From the graph we have the x-intercept (9, 0) → x = 9, y = 0.
Substitute to the equation:
[tex]0=9m+9[/tex] subtract 9 from both sides
[tex]-9=9m[/tex] divide both sides by 9
[tex]-1=m\to m=-1[/tex]
Finally:
[tex]y=-1x+9[/tex]
