What is the slope of the line that contains the points (1, 1) and (2, 8)?

To find the slope of the line that connects the points (1, 1) and (2, 8), we can use the formula for slope, which is:

slope (m) = (y₂ – y₁) / (x₂ – x₁)

Here, (x₁, y₁) = (1, 1) and (x₂, y₂) = (2, 8).

Now, substituting the values into the formula:

1. Calculate the difference in the y-coordinates:

y₂ – y₁ = 8 – 1 = 7

2. Calculate the difference in the x-coordinates:

x₂ – x₁ = 2 – 1 = 1

3. Now, divide the difference in y-coordinates by the difference in x-coordinates:

slope (m) = 7 / 1 = 7

Therefore, the slope of the line that connects the points (1, 1) and (2, 8) is 7. This indicates that for each unit increase in x, the value of y increases by 7 units.