Answer:
[tex]y=-2x-4[/tex]
Step-by-step explanation:
You can solve this equation using the point slope formula, which is as following:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
When using this equation, [tex]y_{1}[/tex] is equal to the y value in the known point, [tex]x_{1}[/tex] is equal to the x value in the known point, and m is equal to the slope. With this knowledge, this is how you would solve this problem.
[tex]y-y_{1} =m(x-x_{1})\\ \\y+6=-2x+2\\\\y=-2x-4[/tex]