Using the coordinates of two points (84, 80) and (74, 65), determine the slope of the line of best fit.

AThe slope of the line is 1.5.
BThe slope of the line is 15.
CThe slope of the line is -10.
DThe slope of the line is -15

Verified Answer :

Tareki

the slope of the line is 1.5

Answer:

a.the slope of the line is 1.5

Step-by-step explanation:

Hello

if two points of a line are known(P1 and P2), it is possible to find the slope of the line, the slope of a line is given by:

\(slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)

\(P1=(x_{1} ,y_{1}) \\P2=(x_{2} ,y_{2})\)

Step 1

define

\(P1=(84,80) , x_{1}=84 ,y_{1}=80\\P2=(74,65) , x_{2}=74 ,y_{2}=65\)

Step 2

put the values into the equation

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{65-80 }{74-84}\\m=\frac{-15}{-10}\\ m=\frac{15}{10}=\frac{3}{2}=1.5\)

the slope=1.5

I hope it helps, have a great day