Find the slope of the line that passes through the pair of points. (2, 6), (7, 0).

Solution:

From the question it is given that pair of points. (2, 6), (7, 0).

The slope of the line that passes Through (x₁, y₁) and (x₂, y₂) is given by:

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

So, (x₁, y₁) = (2, 6) and (x₂, y₂) = (7, 0)

Now, Substitute (x₁, y₁) and (x₂, y₂) with their given values, we get,

m = (0 - 6) / (7 - 2)

By further calculation

m = (-6) / (5)

m = -6/5

Therefore, the slope of the line is -6/5.

Find the slope of the line that passes through the pair of points. (2, 6), (7, 0).

Summary:

The slope of the line that passes through the pair of points (2, 6), (7, 0) is -6/5.