Final answer:
The ordered pairs that represent points on the graph of the equation 2x-5y=11 are (-7,-5), (-2,-3), and (3,-1).
Step-by-step explanation:
To find the ordered pairs that represent points on the graph of the equation 2x-5y=11, we need to substitute the x and y values from each given option into the equation and check if the equation holds true. Let's go through each option:
A. (5,7): 2(5) - 5(7) = 10 - 35 = -25 ≠ 11, so this is not on the graph.
B. (5,1): 2(5) - 5(1) = 10 - 5 = 5 ≠ 11, so this is not on the graph.
C. (-7,-5): 2(-7) - 5(-5) = -14 + 25 = 11, so this point is on the graph.
D. (-2,-3): 2(-2) - 5(-3) = -4 + 15 = 11, so this point is on the graph.
E. (-8,3): 2(-8) - 5(3) = -16 - 15 = -31 ≠ 11, so this is not on the graph.
F. (3,-1): 2(3) - 5(-1) = 6 + 5 = 11, so this point is on the graph.
The ordered pairs that represent points on the graph of the equation are C. (-7,-5), D. (-2,-3), and F. (3,-1).