Answer: [tex]y=\dfrac{1}{3}x-9[/tex]
Step-by-step explanation:
The equation of a line in slope -intercept form is written as :-
[tex]y=mx+c[/tex]
The given equation : [tex]y+6=\dfrac{1}{3}(x-9)[/tex]
To write the given equation in slope - intercept form , we need to first solve the right -hand sides in the equation.
[tex]y+6=\dfrac{1}{3}(x-9)\\\\\Rightarrow\ [tex]y+6=\dfrac{1}{3}x-3\\\\\Rightarrow\ y=\dfrac{1}{3}x-3-6\\\\\Rightarrow\ y=\dfrac{1}{3}x-9[/tex]
Hence, the equation written in slope-intercept form : [tex]y=\dfrac{1}{3}x-9[/tex]
