Question

What is the slope of the line described by the data in the table below? x 0 1 2 3 y 2 4 6 8

Answer 1

The slope of the line is 2.

Explanation:

The data provided is as follows:

x : 0 1 2 3

y : 2 4 6 8

The formula to compute the slope of a line is:

`\text{Slope} &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}`

Compute the required values in Excel as shown below.

Compute the value of slope as follows:

`b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\\= ( 4 \cdot 40 - 6 \cdot 20 )/( 4 \cdot 14 - \left( 6 \right)^2) \\\\= 2\end{aligned}`

Thus, the slope of the line is 2.