Answer:
y = 1
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
We have m = 0, (3, 1) → x₁ = 3, y₁ = 1.
Substitute:
[tex]y-1=0(x-3)[/tex]
[tex]y-1=0[/tex] add 1 to both sides
[tex]y=1[/tex]
Other method.
If the slope is equal 0, then it's a horizontal line.
The equation of a horizontal line: y = a.
We have the point on a line (3, 1) → x = 3, y = 1.
Therefore the equation is y = 1.
