What is the slope of the line passing through the points (2, -5) and (4, 1)?

Solution:

Given, the points are (2, -5) and (4, 1).

We have to find the slope of the line passing through the two points.

The slope of the line passing through the points can be found by using the formula,

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

So, \(m=\frac{1-(-5)}{4-2}\)

\(m=\frac{6}{2}\)

m = 3

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

Therefore, the slope of the line is 3.

What is the slope of the line passing through the points (2, -5) and (4, 1)?

Summary:

The slope of the line passing through the points (2, -5) and (4, 1) is 3.