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Answer:
[tex]y=3[/tex]
Step-by-step explanation:
We are given the slope of the line and a point on the line.
So, we can utilize 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.
We know that the slope is 0. So, m = 0.
And we will let (-3, 3) be (x₁, y₁). Hence, by subsitution:
[tex]y-(3)=0(x-(-3))[/tex]
Simplify:
[tex]y-3=0[/tex]
We can add 3 to both sides. Hence, our equation is:
[tex]y=3[/tex]
As you would've expect, since it had a slope of 0, it is a horizontal line.