Calculate the Slope from a Table of x and y Values (Horizontal Line)

Question

Given the table of x and y values below, calculate the slope: 
| x | y |
|---|---|
| 0 | 4 |
| 1 | 4 |
| 2 | 4 |
| 3 | 4 |
| 4 | 4 |
| 5 | 4 |

Accepted Answer

0

Answer

Step 1: Recall the slope formula. For two points $(x_1, y_1)$ and $(x_2, y_2)$, the slope $m$ is calculated as $m = \frac{y_2 - y_1}{x_2 - x_1}$. Step 2: Select any two points from the table. For example, choose $(0, 4)$ as $(x_1, y_1)$ and $(1, 4)$ as $(x_2, y_2)$. Step 3: Substitute the values into the slope formula: $m = \frac{4 - 4}{1 - 0} = \frac{0}{1} = 0$. Step 4: Verify with another pair of points (e.g., $(2, 4)$ and $(5, 4)$): $m = \frac{4 - 4}{5 - 2} = \frac{0}{3} = 0$. The result is consistent, confirming the slope is 0.