Answer:
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.
