How do you calculate the slope of a line that passes through the points (2, 3) and (3, 1)?

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

slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, the two points we have are (2, 3) and (3, 1). Let’s designate:

• (x₁, y₁) = (2, 3)
• (x₂, y₂) = (3, 1)

Now, we can plug these values into the slope formula:

m = (1 – 3) / (3 – 2)

Calculating the values:

• The difference in the y-coordinates (y₂ – y₁) is 1 – 3 = -2
• The difference in the x-coordinates (x₂ – x₁) is 3 – 2 = 1

So now we substitute these results back into the formula:

m = -2 / 1

The slope (m) is equal to -2. This means that for every unit you move to the right along the x-axis, the line goes down 2 units on the y-axis.

In summary, the slope of the line containing the points (2, 3) and (3, 1) is -2.