Use the table to answer the question.

Question

x y
2 8
4 12
6 16
Use the data from the table to determine the slope of the line.

(1 point)

Answer 1

To determine the slope of the line using the given data points, we can use the formula for the slope \( m \):

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Let's use two points from the table. We'll use (2, 8) and (4, 12):

• \( (x_1, y_1) = (2, 8) \)
• \( (x_2, y_2) = (4, 12) \)

Substituting these values into the slope formula:

\[ m = \frac{12 - 8}{4 - 2} = \frac{4}{2} = 2 \]

Therefore, the slope of the line is \( 2 \).