# What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?

A straight line is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity.

## Answer: The equation of a line, in general form, that passes through points (-1, 2) and (5, 2) is y = 2.

Let's look into the solution below.

**Explanation:**

Given: Two points (-1, 2) and (5, 2)

We will be using the equation of a line in two-point form.

The two-point form of a line is used for finding the equation of a line given two points (x_{1}, y_{1}) and (x_{2}, y_{2}) on it.

It is represented as,

y − y_{1 }= [(y_{2} - y_{1}) / (x_{2} - x_{1})] (x − x_{1}) ------ (1)

We have the two given points (x_{1}, y_{1}) and (x_{2}, y_{2}) as (-1, 2) and (5, 2)

Thus, x_{1} = -1, y_{1 }= 2, x_{2} = 5, y_{2} = 2

Substituting these values in equation (1), we get,

y - 2 = [(2 - 2) / (5 - (-1))] (x - (-1))

⇒ y - 2 = (0) (x + 1)

⇒ y - 2 = 0

⇒ y = 2