The formula of a slope (m):
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]m=-\dfrac{5}{3}[/tex]
Substitute and check:
A. (12, 13); (17, 10)
[tex]\dfrac{10-13}{17-12}=\dfrac{-3}{5}\neq-\dfrac{5}{3}[/tex]
NOT
B. (16, 15); (13, 10)
[tex]\dfrac{10-15}{13-16}=\dfrac{-5}{-3}=\dfrac{5}{3}\neq-\dfrac{5}{3}[/tex]
NOT
C. (0, 7); (3, 10)
[tex]\dfrac{10-7}{3-0}=\dfrac{3}{3}=1\neq-\dfrac{5}{3}[/tex]
NOT
D. (11, 13); (8, 18)
[tex]\dfrac{18-13}{8-11}=\dfrac{5}{-3}=-\dfrac{5}{3}[/tex]
YES
Answer: D. (11, 13), (8, 18).
