Question

What is the slope indicated in the table below X 0 1 2 3 Y 0 5 10 15

Answer 1

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.

$\begin{array}{cc|cc|c}\mathbf{x} & \mathbf{\Delta x} & \mathbf{y} & \mathbf{\Delta y} & \mathbf{\Delta y/ \Delta x} \\0 & & 0 & & \\ & 1 & & 5 & \mathbf{5} \\1 & & 5 & & \\ & 1 & & 5 & \mathbf{5} \\2 & & 10 & & \\ & 1 & & 5 & \mathbf{5} \\3 & & 15 & & \\\end{array}$