Question

using the coordinates of two points (84,80) and (74,65), determine the slope of the line of best fit.
a. the slope of the line is 1.5.
b. the slope of the line is 15.
c. the slope of the line is -10.
d. the slope of the line is -15.
please select the best answer from the choices provided

Explanation:

Step1: Recall the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(74,65)\) and \((x_2,y_2)=(84,80)\).

Step2: Substitute the values into the formula

\(m=\frac{80 - 65}{84 - 74}=\frac{15}{10}\).

Step3: Simplify the fraction

\(\frac{15}{10}=1.5\).

Answer:

A. The slope of the line is 1.5.