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

3/0
Start Fraction 3 over 0 End Fraction

2/3
Start Fraction 2 over 3 End Fraction

3
3

3/2

Answer 1

To determine the slope of the line using the provided points from the table, we can use the formula for the slope \( m \), which is defined as:

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

Let's choose two points from the table:

1. Point 1: \( (-1, 6) \)
2. Point 2: \( (1, 9) \)

Now we can substitute these values into the slope formula:

• \( y_1 = 6 \) and \( x_1 = -1 \)
• \( y_2 = 9 \) and \( x_2 = 1 \)

Now we calculate the slope:

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

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

Thus, the answer is \( \frac{3}{2} \).