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
3

23
Start Fraction 2 over 3 End Fraction

32
Start Fraction 3 over 2 End Fraction

30

Answer 1

To calculate the slope of the line using the points from the table, we can use the slope formula:

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

We have the points:

1. \((-1, 6)\)
2. \((1, 9)\)
3. \((3, 12)\)

Let's use the first two points \((-1, 6)\) and \((1, 9)\) for our calculation:

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

Now, we can check using the other points \((1, 9)\) and \((3, 12)\):

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

In both cases, we find that the slope of the line is

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

Thus, the correct response is:

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