Question

What is the equation of a line that passes through points (-1, 2) and (5, 2)? y - 2 = 0 x - 2 = 0 y - x - 2 = 0

Answer 1

We know that Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

`Slope(m) = (y_2 - y_1)/(x_2 - x_1)`

Given Points are (-1 , 2) and (5 , 2)

here x₁ = -1 and x₂ = 5 and y₁ = 2 and y₂ = 2

⇒
`Slope(m) = (2 - 2)/(5 + 1) = 0`

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

y - y₀ = m(x - x₀)

Here the line passes through the point (-1 , 2)

x₀ = -1 and y₀ = 2 and we found m = 0

Equation in Point slope form : y - 2 = 0