# What is the Slope of the Line Passing through the Points (2, −5) and (4, 1)?

A slope indicates the change in gradient of the graph, which can be either positive or negative.

## Answer: The slope of the line passing through the points (2, −5) and (4, 1) is 3.

Go through the steps to find the exact value of the slope.

**Explanation:**

Given points: (2, -5) and (4, 1)

The formula for slope = (\(y_{2}\) - \(y_{1}\)) / (\(x_{2}\) - \(x_{1}\)) , where (\(x_{1}\), \(y_{1}\)) and (\(x_{2}\), \(y_{2}\)) are the two points.

Using the above formula, slope for the given points = (1 - {-5}) / (4 - 2) = 6/2.

Slope = 3

You can verify the answer using the slope calculator.

A positive slope indicates an upward slope or an increasing graph.