What is the slope of the line which passes through (4, 5) and (0, 1)?

Solution:

The slope of the line joining two points (x₁, y₁) and (x₂, y₂) is given by,

m = (y₂ - y₁)/ (x₂ - x₁)

Let (x₁, y₁) = (4, 5) and (x₂, y₂) = (0, 1)

∴ Slope of the line, m = (y₂ - y₁)/ (x₂ - x₁)

m = (1 - 5)/ (0 - 4)

m = -4/-4 = 1

Note that slope of the line can also be calculated if the angle made by the line with positive direction of the x - axis is given using slope m = tan θ.

Example:

If the angle made by the line with positive direction of x axis is 60⁰ then find the slope of line.

Solution: Here angle made by the line with positive direction of x axis is 60⁰

Slope = m = tan 60⁰ = √3

What is the slope of the line which passes through (4, 5) and (0, 1)?

Summary:

The slope of a line passing through the points (4, 5) and (0, 1) is 1.