How do you calculate the slope of the line that passes through the points (1, 4) and (0, 1)?

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

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, you have the points (1, 4) and (0, 1). We can label these points as follows:

• (x₁, y₁) = (1, 4)
• (x₂, y₂) = (0, 1)

Now, substitute the values into the slope formula:

m = (1 – 4) / (0 – 1)

Calculating the differences:

• y₂ – y₁ = 1 – 4 = -3
• x₂ – x₁ = 0 – 1 = -1

Now plug these values back into the formula:

m = -3 / -1

When you simplify that, you get:

m = 3

So, the slope of the line that passes through the points (1, 4) and (0, 1) is 3.