What is the slope of the line which passes through (4, 7) and (2, 3)?

Solution:

Given points are

A(4, 7) B(2, 3)

Slope = rise/run

The slope = change in y coordinates/change in x coordinates

The formula to find the slope of the line is m = (y₂ - y₁)/ (x₂ - x₁)

Substituting the given points

m = (3 - 7)/(2 - 4)

m = -4/-2

m = 2

Therefore, the slope of the line is 2

Example:

What is the slope of the line which passes through (2, 4) and (6, 8)?

Solution:

Given

A(2, 4) B(6, 8)

The formula to find the slope of the line is m = (y₂ - y₁)/ (x₂ - x₁)

Substituting the given points

m = (8 - 4)/(6 - 2)

m = 4/4

m = 1

Therefore, the slope of the line is 1.

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What is the slope of the line which passes through (4, 7) and (2, 3)?

Summary:

The slope of the line which passes through (4, 7) and (2, 3) is 2.