Answer:
[tex]y=-2x+12[/tex]
Step-by-step explanation:
We can use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:
[tex]y-(2)=-2(x-(5))[/tex]
Simplify:
[tex]y-2=-2(x-5)[/tex]
Distribute:
[tex]y-2=-2x+10[/tex]
Add 2 to both sides. Hence, our equation is:
[tex]y=-2x+12[/tex]