x: -1, 1, 3

Question

y: 6, 9,12

Use the data from the table to determine the slope of the line.

A: 3/2

B: 2/3

C: 3/0

D: 3

Answer 1

To determine the slope of the line using the given points, we can use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Let's use the points (1, 9) and (3, 12):

\[ (x_1, y_1) = (1, 9)
(x_2, y_2) = (3, 12) \]

Now, plug the values into the formula:

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

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

The correct answer is:

A: \( \frac{3}{2} \).