Question

a table shows x = 2, 4, 6 and y = 8, 16, 24. what is the slope of the function?
a. 4
b. 5
c. 3
d. 2

Explanation:

Step1: Recall slope formula

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

Step2: Choose two points

Let's take the first two points: \( x_1 = 2, y_1 = 8 \) and \( x_2 = 4, y_2 = 16 \).

Step3: Calculate the slope

Substitute into the formula: \( m=\frac{16 - 8}{4 - 2}=\frac{8}{2}=4 \). We can check with other points (e.g., \( x_1 = 4, y_1 = 16 \) and \( x_2 = 6, y_2 = 24 \)): \( m=\frac{24 - 16}{6 - 4}=\frac{8}{2}=4 \), which confirms the slope.

Answer:

a. 4