Question

The ordered pairs in the table below represent a linear function.

x
y
2
3
5
9

What is the slope of the function?
One-fourth
One-half
2
4

Answer 1

To find the slope of a linear function given two points from the table, we can use the formula for slope \( m \):

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

From the pairs of points given, we can extract some of them. Let's consider the points \( (2, 3) \) and \( (5, 9) \).

1. Let \( (x_1, y_1) = (2, 3) \)
2. Let \( (x_2, y_2) = (5, 9) \)

Plugging these values into the slope formula:

\[
m = \frac{9 - 3}{5 - 2} = \frac{6}{3} = 2
\]

Thus, the slope of the function is \( 2 \).

So the answer is:

**2**