The ordered pairs (2, -21) and (5, -45) are solutions to which of the following equations.
y = -8x - 5
y = -8x + 5
y = 8x - 5
y = 8x + 5

28 points.

y=-8x-5

Step-by-step explanation:

The solution to this problem is obtained by evaluating the given points in every possible functions.

Lets start by Evaluating (2,-21)

y=-8x-5 at evaluation leads to> -21=-8(2)-5=-21. An equality, which means that y=-8x+5 is a line containing the point (2,-21).

Now lest continue with the other point (5, -45), which leads to

-45= -8*5 -5= 45, an equality, which means that y=-8x+5 also contains the point (5,-45)

If we decide to try with the others function using for instance the point (5, -45) we will get the following:

y=-8x+5 at evaluation leads to> -5= -8(5) +5=-35, a contradiction, this line is not a solution.

y=8x-5 at evaluation leads to -45= 8 * 5 -5=35, a contradiction, this line is not a solution

y=8x+5 at evaluation leads to -45= 8*5 + 5= 45, a contradiction, this line is not a solution.