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

23
Start Fraction 2 over 3 End Fraction

32
Start Fraction 3 over 2 End Fraction

3
3

30
Start Fraction 3 over 0 End Fraction
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Answer 1

To determine the slope of the line that goes through the points given in the table, we can use the slope formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

We can choose two points from the table. Let's use the points \((-1, 6)\) and \((3, 12)\).

Here, \((x_1, y_1) = (-1, 6)\) and \((x_2, y_2) = (3, 12)\).

Now we apply the slope formula:

\[
m = \frac{12 - 6}{3 - (-1)} = \frac{6}{3 + 1} = \frac{6}{4} = \frac{3}{2}
\]

So, the slope of the line is:

\(\frac{3}{2}\)

Thus, the correct response is:

**Start Fraction 3 over 2 End Fraction**.