Question

Use the table to answer the 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

30
Start Fraction 3 over 0 End Fraction

32
Start Fraction 3 over 2 End Fraction

23
Start Fraction 2 over 3 End Fraction

3

Answer 1

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

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

We will use two points from the table. Let's take the points \( (1, 9) \) and \( (3, 12) \).

Here, \( (x_1, y_1) = (1, 9) \) and \( (x_2, y_2) = (3, 12) \).

Now we can substitute these values into the slope formula:

\[
m = \frac{12 - 9}{3 - 1} = \frac{3}{2}
\]

Thus, the slope of the line is:

\[
\frac{3}{2}
\]

Therefore, the correct response is:

**Start Fraction 3 over 2 End Fraction**