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

**Solution:**

The slope of the line joining two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by,

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

Let (x_{1}, y_{1}) = (4, 5) and (x_{2}, y_{2}) = (0, 1)

∴ Slope of the line, m = (y_{2} - y_{1})/ (x_{2} - x_{1})

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.

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