The slope of a line that passes through two points can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

Here, the points provided are (1, 4) and (0, 1). Let’s assign these points as follows:

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

Now, substituting these values into the slope formula:

m = (1 – 4) / (0 – 1)

Calculating the values:

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

So now we have:

m = -3 / -1 = 3

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