What is the slope of a line passing through (3, 4) and (5, 8)?

Solution:

Slope of line joining two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁) / (x₂ - x₁)

Here, (x₁, y₁) = (3, 4) and (x₂, y₂) = (5, 8) 

ஃ slope = m = (8 - 4) / (5 - 3)

m = 4 / 2 = 2 

Note:

Slope of the line can also be calculated if the angle(Ө) made by the line with positive direction of x axis is given using slope = m = tan Ө

Example: If the line makes an angle 60° with the positive direction of the x axis then find the slope. 

Solution:

Slope of line = m = tan 60° = √3

What is the slope of a line passing through (3, 4) and (5, 8)?

Summary: 

The slope of a line passing through (3, 4) and (5, 8) is 2