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

23
Start Fraction 2 over 3 End Fraction

3
3

30
Start Fraction 3 over 0 End Fraction

32

Answer 1

To calculate the slope (m) of a line using two points from the table, you can use the slope formula:

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

Using the points \((-1, 6)\) and \((1, 9)\):

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

Now plug the values into the formula:

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

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

None of the provided responses match this calculation, so it seems there may have been an error in the responses given. The correct slope is \( \frac{3}{2} \).