Question

The table below represents a linear function. Identify the slope of the function.

x
4
6
8
10
Y
0
1
2
3

Answer 1

The slope of the linear function represented by the table values is 1/2, meaning for every two units increase in x, there is a one unit increase in y.

Step-by-step explanation:

To find the slope, often denoted as m, we use the formula m = (change in y) / (change in x), which is also known as 'rise over run'.

Looking at the table, we can pick any two points to calculate this.

Let's use (6, 1) and (8, 2):

Slope (m) = (y2 - y1) / (x2 - x1)

= (2 - 1) / (8 - 6)

= 1 / 2

The slope of the function is 1/2.

This means there is a rise of 1 on the vertical axis for every increase of 2 on the horizontal axis.