Question

x: -1, 1, 3
y: 6, 9,12

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

Answer 1

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

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

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

1. Let \((x_1, y_1) = (-1, 6)\) and \((x_2, y_2) = (1, 9)\).
2. Substitute these values into the slope formula:

\[
m = \frac{9 - 6}{1 - (-1)} = \frac{3}{2} = 1.5
\]

For confirmation, we can use another pair of points, \((1, 9)\) and \((3, 12)\):

1. Let \((x_1, y_1) = (1, 9)\) and \((x_2, y_2) = (3, 12)\).
2. Substitute these values into the slope formula:

\[
m = \frac{12 - 9}{3 - 1} = \frac{3}{2} = 1.5
\]

In both cases, the slope of the line is:

\[
\boxed{1.5}
\]