How do you calculate the slope of a line that passes through the points (3, 4) and (4, 1)?

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

slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, the two points are (3, 4) and (4, 1). Here, we designate:

• (x₁, y₁) = (3, 4)
• (x₂, y₂) = (4, 1)

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

m = (1 – 4) / (4 – 3)

This simplifies to:

m = (-3) / (1)

Therefore, the slope (m) of the line that passes through the points (3, 4) and (4, 1) is:

m = -3

In summary, the slope of the line is -3, which indicates that the line descends as it moves from left to right.