Final answer:
The ordered pair (-1, -9) is a solution to the equation y = 7x - 2 because substituting x with -1 gives y = -9, which matches the pair. The ordered pair (0, 2) is not a solution because substituting x with 0 gives y = -2, not 2.
Step-by-step explanation:
To determine if the ordered pairs (-1, -9) and (0, 2) are solutions to the equation y = 7x - 2, we can use the method of substitution to replace x with the x-value of the ordered pair to see if we obtain the corresponding y-value.
Checking First Ordered Pair (-1, -9):
Substitute x = -1 into the equation:
- y = 7(-1) - 2
- y = -7 - 2
- y = -9
Since the resulting y-value is -9, which matches the y-value of the ordered pair, (-1, -9) is a solution to the equation.
Checking Second Ordered Pair (0, 2)
Substitute x = 0 into the equation:
- y = 7(0) - 2
- y = 0 - 2
- y = -2
Since the resulting y-value is -2, which does not match the y-value of the ordered pair, (0, 2) is not a solution to the equation.