Answer:
D
Step-by-step explanation:
Recall the formula to find slope from two coordinate pairs:[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
So we can plug each answer choice into the formula and see if it evaluates to -1/3!
A: (6,-1) = [tex](x_2,y_2)[/tex]; (2,5) = [tex](x_1,y_1)[/tex]
[tex]m = \frac{-1-5}{6-2} =\frac{-6}{4}[/tex]
That's not equal to -1/3
B: (6,-1) = [tex](x_2,y_2)[/tex]; (5,2) = [tex](x_1,y_1)[/tex]
[tex]m=\frac{-1-2}{6-5} =\frac{-3}{1} =-3[/tex]
That's close, it's the reciprocal of -1/3
C: (-1,6) = [tex](x_2,y_2)[/tex]; (5,2) = [tex](x_1,y_1)[/tex]
[tex]m=\frac{6-2}{-1-5} =\frac{4}{6}[/tex]
That's not equal to -1/3
D: (-1,6) = [tex](x_2,y_2)[/tex] ;(2,5) = [tex](x_1,y_1)[/tex]
[tex]m=\frac{6-5}{-1-2} =\frac{1}{-3}[/tex]
That's equal to -1/3!
Let me know if you any questions!
