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

Solution:

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

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

The slope of the line passing through two points is given by

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

Here, (x₁,y₁) = (1, -5) and (x₂, y₂) = (4, 1)

Slope = \(\frac{1-(-5)}{4-1}\)

m = \(\frac{1+5}{3}\)

m = \(\frac{6}{3}\)

m = 2

Therefore, the slope is 2.

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

Summary:

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