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):

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have $m=-\dfrac{5}{3}$

Substitute and check:

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

$\dfrac{10-13}{17-12}=\dfrac{-3}{5}\neq-\dfrac{5}{3}$

NOT

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

$\dfrac{10-15}{13-16}=\dfrac{-5}{-3}=\dfrac{5}{3}\neq-\dfrac{5}{3}$

NOT

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

$\dfrac{10-7}{3-0}=\dfrac{3}{3}=1\neq-\dfrac{5}{3}$

NOT

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

$\dfrac{18-13}{8-11}=\dfrac{5}{-3}=-\dfrac{5}{3}$

YES

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