Question

PLEASE HELP ASAP!!!

A line has slope -5/3. Through which, two points could this line pass?

A. (12,13), (17,10)

B. (16,15),(13,10)

C. (0,7),(3,10)

D. (11,13)(8,18)

Answer 1

The formula of a slope (m):

`m=(y_2-y_1)/(x_2-x_1)`

We have
`m=-(5)/(3)`

Substitute and check:

A. (12, 13); (17, 10)

`(10-13)/(17-12)=(-3)/(5)\\eq-(5)/(3)`

NOT

B. (16, 15); (13, 10)

`(10-15)/(13-16)=(-5)/(-3)=(5)/(3)\\eq-(5)/(3)`

NOT

C. (0, 7); (3, 10)

`(10-7)/(3-0)=(3)/(3)=1\\eq-(5)/(3)`

NOT

D. (11, 13); (8, 18)

`(18-13)/(8-11)=(5)/(-3)=-(5)/(3)`

YES

Answer: D. (11, 13), (8, 18).