# What is the Slope of the Line passing through the points (1, –5) and (4, 1)?

We will be using the slope formula for a line that passes through two points to answer this.

## Answer: The Slope of the Line that passes through (1, –5) and (4, 1) is 2.

Let's solve this step by step.

**Explanation:**

Given that, (x_{1}, y_{1}) = (1, –5) and (x_{2}, y_{2}) = (4, 1)

The slope of the line that passes through (x_{1},y_{1}) and (x_{2},y_{2}) is given by:

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

Substitue (x_{1}, y_{1}) and (x_{2}, y_{2}) with their given values.

m = (1 - {-5}) / (4 - 1)

m = (1 + 5) / (3)

m = 6 / 3

m = 2