How do you calculate the slope of a line that passes through the points (2, 5) and (0, 4)?

To calculate the slope of a line that passes through two points, you can use the slope formula:

slope (m) = (y2 - y1) / (x2 - x1)

Here, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. In this case, we have:

• Point 1: (2, 5) – So, x₁ = 2 and y₁ = 5
• Point 2: (0, 4) – So, x₂ = 0 and y₂ = 4

Now, substitute these values into the slope formula:

m = (4 - 5) / (0 - 2)

Performing the calculations:

• The change in y: 4 - 5 = -1
• The change in x: 0 - 2 = -2

Now, plug these values back into the formula:

m = -1 / -2

Thus, the slope simplifies to:

m = 1/2

So, the slope of the line passing through the points (2, 5) and (0, 4) is 1/2.