Use the table to answer the question.

Question

x y
−1
6
1 9
3 12
Use the data from the table to determine the slope of the line.

(1 point)
Responses

3/2
Start Fraction 3 over 2 End Fraction

3/0
Start Fraction 3 over 0 End Fraction

3
3

2/3

Answer 1

To determine the slope of the line using the data in the table, we can use the formula for slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Using the points from the table, we can pick any two points. Let's use the points \((-1, 6)\) and \((1, 9)\):

1. Assign \((-1, 6)\) as \((x_1, y_1)\) and \((1, 9)\) as \((x_2, y_2)\).
2. Substitute these values into the slope formula:

\[ m = \frac{9 - 6}{1 - (-1)} = \frac{3}{1 + 1} = \frac{3}{2} \]

Therefore, the slope of the line is \(\frac{3}{2}\).

The correct response is:

3/2