What is the slope of the line which passes through (2, 5) and (3, 6)?

Solution:

The given points are (2, 5) and (3, 6)

The formula to find the slope of a line is

m = (y₂ - y₁)/ (x₂ - x₁)

Substituting the values

m = (6 - 5)/ (3 - 2)

m = 1/1

m = 1

Therefore, the slope of the line is 1.

Example:

What is the slope of the line which passes through (1, 2) and (5, 6)?

Solution:

The given points are (1, 2) and (5, 6)

The formula to find the slope of a line is

m = (y₂ - y₁)/ (x₂ - x₁)

Substituting the values

m = (6 - 2)/ (5 - 1)

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 (2, 5) and (3, 6)?

Summary:

The slope of the line which passes through (2, 5) and (3, 6) is 1.