Determine which ordered pair is a solution of y=x2 -2.
(-2,6)
(5,21)
(-1,-1)
(-5,24)
To determine which ordered pair is a solution of the equation y = x^2 - 2, we can substitute the x and y values of each pair into the equation and see if it holds true.
Let's test each ordered pair:
1. (-2, 6):
Substituting x = -2 and y = 6 into the equation, we get:
6 = (-2)^2 - 2
6 = 4 - 2
6 = 2
This is not true, so (-2, 6) is not a solution.
2. (5, 21):
Substituting x = 5 and y = 21 into the equation, we get:
21 = (5)^2 - 2
21 = 25 - 2
21 = 23
This is not true, so (5, 21) is not a solution.
3. (-1, -1):
Substituting x = -1 and y = -1 into the equation, we get:
-1 = (-1)^2 - 2
-1 = 1 - 2
-1 = -1
This is true, so (-1, -1) is a solution.
4. (-5, 24):
Substituting x = -5 and y = 24 into the equation, we get:
24 = (-5)^2 - 2
24 = 25 - 2
24 = 23
This is not true, so (-5, 24) is not a solution.
Therefore, the ordered pair that is a solution of the equation y = x^2 - 2 is (-1, -1).
I would sub in each of the given points into
y = x^2 - 2 and see which one works.