How do you calculate the slope of the line that passes through the points (3, 5) and (4, 5)?

To determine the slope of a line that passes through two points, you can use the slope formula, which is defined as:

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, the two points given are:

• Point 1: (3, 5) with coordinates (x₁, y₁)
• Point 2: (4, 5) with coordinates (x₂, y₂)

Plugging in the values:

• x₁ = 3, y₁ = 5
• x₂ = 4, y₂ = 5

Now substitute these coordinates into the slope formula:

m = (5 – 5) / (4 – 3)

Calculating this, we have:

• m = (0) / (1) = 0

This means the slope of the line through the points (3, 5) and (4, 5) is 0. This indicates that the line is horizontal, with no vertical change as it moves from left to right.