Answer:
(6,-1)
Step-by-step explanation:
The ordered pair on the line will have the same slope. To find this, substitute the original point (-2,5) and each listed point into the slope formula. Simplify to see if the slope is the same.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{-1 - 5}{6 --2} = \frac{-6}{8} = -\frac{3}{4}[/tex]
The pair (2,8) gives a slope of 3/4.
The pair (-5,1) gives a slope of 4/3.
The pair (1,1) gives a slope of -4/3.
The solution is (6,-1).