What is the slope of the line that passes through (2, 7) and (4, 9)?

To determine the slope of the line passing through the points (2, 7) and (4, 9), we use the slope formula:

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

Here, (x₁, y₁) = (2, 7) and (x₂, y₂) = (4, 9).

Substituting these values into the formula:

m = (9 – 7) / (4 – 2)

This simplifies to:

m = 2 / 2 = 1

Therefore, the slope of the line that passes through the points (2, 7) and (4, 9) is 1.