Question

9
find the slope shown in the table.
input = x output = y
0 0
1 4
2 8
3 12
4 16
m =

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Choose two points from table

Let's take \((x_1, y_1)=(0, 0)\) and \((x_2, y_2)=(1, 4)\).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{4 - 0}{1 - 0}=\frac{4}{1} = 4 \). We can check with other points, e.g., \((2,8)\) and \((3,12)\): \( m=\frac{12 - 8}{3 - 2}=\frac{4}{1}=4 \), which confirms the slope.

Answer:

4