A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

To find the slope of the line that passes through the points M(1, 3) and N(5, 0), we can use the formula for the slope (m) given two points (x₁, y₁) and (x₂, y₂):

m = (y₂ – y₁) / (x₂ – x₁)

Here, we can take M(1, 3) as (x₁, y₁) and N(5, 0) as (x₂, y₂):

• x₁ = 1, y₁ = 3
• x₂ = 5, y₂ = 0

Now substituting these values into the formula:

m = (0 – 3) / (5 – 1)

m = (-3) / (4) = -3/4

The slope of the line MN is -3/4. This negative value indicates that the line slopes downward from left to right.