What is the slope of the line defined by the points (3, 0) and (3, 3)?

The slope of a line is calculated using the formula:

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

For the points (3, 0) and (3, 3), we have:

• (x₁, y₁) = (3, 0)
• (x₂, y₂) = (3, 3)

Plugging these values into the slope formula:

m = (3 – 0) / (3 – 3)

This simplifies to:

m = 3 / 0

Since division by zero is undefined, we can conclude that the slope of the line is undefined.

Graphically, this means the line is vertical, running straight up and down through the point (3, 0) to (3, 3). Vertical lines do not have a defined slope since they do not rise or fall in relation to the horizontal axis.