Question

A principal measures the weight of different numbers of textbooks that he finds in a storage room. The scatter plot below shows the relationship between the weight, in pounds, and the number of textbooks. A line of best fit is drawn on the scatter plot.
Enter the slope of the line of best fit as a decimal to the nearest tenth.

Answer 1

The slope of the line of best fit is 2.4

Explanation:

To determine the slope of the equation, let us plot the coordinates in the slope form.

Analyzing the graph,some of the points that are on the straight line is (5,12) and (10,24)

Let us use the points (5,12) and (10,24) to find the slope of the line of best fit.

The formula for slope is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates (5,12) and (10,24), we have,

$m=\frac{24-12}{10-5}$

Subtracting, we get,

$m=\frac{12}{5}$

Dividing, we have,

$m=2.4$

Hence, The slope of the line of best fit is 2.4