Answer:
5
Step-by-step explanation:
1. Identify the changes (Δ) in each consecutive pair of x-values and y-values
The changes in x (Δx) are 1, 1, and 1. The changes in y (Δy) are 5, 5, and 5.
2. Calculate the corresponding values of Δy/Δx
In each case, Δy/Δx = 5.
The slope is 5.
I have organized the calculations in the table below.
[tex]\begin{array}{cc|cc|c}\mathbf{x} & \mathbf{\Delta x} & \mathbf{y} & \mathbf{\Delta y} & \mathbf{\Delta y/ \Delta x} \\0 & & 0 & & \\ & 1 & & 5 & \mathbf{5} \\1 & & 5 & & \\ & 1 & & 5 & \mathbf{5} \\2 & & 10 & & \\ & 1 & & 5 & \mathbf{5} \\3 & & 15 & & \\\end{array}[/tex]
