Question

The slope of a line is 0 and it contains the point (3,1)

Answer 1

y = 1

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

(x₁, y₁) - point on a line

We have m = 0, (3, 1) → x₁ = 3, y₁ = 1.

Substitute:

`y-1=0(x-3)`

`y-1=0` add 1 to both sides

`y=1`

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.