# What is the Equation of the Line that Passes through the Points (1, 1) and (5, 5)?

We will be using the concept of the Point-Slope Form of a line to solve this.

## Answer: The Equation of the Line Passing through the given Points (1, 1) and (5, 5) is x - y = 0.

Let's solve this step by step to find the equation of the line.

**Explanation:**

Given that, (x_{1}, y_{1}) = (1, 1) and (x_{2}, y_{2}) = (5, 5)

We need to find the slope first.

Slope Formula (m) = (y_{2} − y_{1}) / (x_{2} − x_{1})

On substituting the values, we get

Slope(m) = (5 - 1) / (5 - 1)

Slope(m) = 4/4

Slope(m) = 1

You can also calculate the slope using Cuemath's slope calculator.

The point-slope formula states (y − y_{1}) = m (x − x_{1}).

Substituting the values, we get (y - 1) = 1 × (x - 1)

⇒ y - 1 = x - 1

x - y = 0