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

Answer 1

the slope of the line is 1.5

Answer 2

a.the slope of the line is 1.5

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=(y_(2)-y_(1))/(x_(2)-x_(1)) \\m=(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=(y_(2)-y_(1))/(x_(2)-x_(1))\\m=(65-80 )/(74-84)\\m=(-15)/(-10)\\ m=(15)/(10)=(3)/(2)=1.5`

the slope=1.5

I hope it helps, have a great day